@Book{mABR70a,
author = {M. Abramowitz and I. A. Stegun},
title = {Handbook of Mathematical Functions},
publisher = {Dover},
year = {1970},
address = {New York}
}
@ARTICLE {mALA64a,
AUTHOR="J. D. Alanen and D. E. Knuth",
TITLE="Tables of Finite Fields",
JOURNAL={SANKHY\=A: The Indian Journal of Statistics, Series A},
VOLUME={26},
YEAR={1964},
PAGES={305--328} }
@ARTICLE {mBAB60a,
AUTHOR="K. I. Babenko",
TITLE="Approximation of Periodic Functions of Several Variables
by Trigonometric Polynomials",
JOURNAL={Soviet Mathematics Doklady},
VOLUME={1},
YEAR={1960},
PAGES={513--516} }
@ARTICLE {mBAB60b,
AUTHOR="K. I. Babenko",
TITLE="Approximation by Trigonometric Polynomials in a Certain
Class of Periodic Functions of Several Variables",
JOURNAL={Soviet Mathematics Doklady},
VOLUME={1},
YEAR={1960},
PAGES={672--675} }
@Book{mBAC96a,
author = {E. Bach and J. Shallit},
title = {Algorithmic Number Theory},
publisher = {MIT Press},
year = {1996},
volume = {1},
address = {Cambridge, MA},
OPTannote = {number theory, complexity, finite fields, algorithms}
}
@BOOK {mBAD13a,
AUTHOR="M. Bader",
TITLE={Space-Filling Curves: An Introduction with Applications in Scientific Computing},
PUBLISHER={Springer},
ADDRESS={Berlin},
YEAR={2013} }
@TechReport{mBAG03a,
Author = "R. Bagnara and A. Zaccagnini and T. Zolo",
Title = "The Automatic Solution of Recurrence Relations.
{I}. {Linear} Recurrences of Finite Order with Constant
Coefficients",
Type = "Quaderno",
Number = 334,
Institution = "Dipartimento di Matematica, Universit\`a di Parma, Italy",
Year = 2003,
Note = "Available at \url{http://www.cs.unipr.it/Publications/}",
annote = {linear recurrences},
}
@ARTICLE{mBAK59a,
author = "N. S. Bakhvalov",
title = "On Approximate Calculation of Multiple Integrals",
journal = "Vestnik Moskovskogo Universiteta, Seriya Matematiki, Mehaniki,
Astronomi, Fiziki, Himii",
volume = "4",
pages = "3--18",
note ="In Russian",
year = "1959"}
@ARTICLE{mBAK62a,
author = "N. S. Bakhvalov",
title = "On the Rate of Convergence of Indeterministic Integration
Processes within the Functional Classes $W_p^{(l)}$",
journal = "Theory of Probability and its Applications",
volume = "7",
pages = "227",
year = "1962"}
@ARTICLE{mBAR79a,
author = "D. L. Barrow and P. W. Smith",
title = "Spline Notation Applied to a Volume Problem",
journal = "The American Mathematical Monthly",
volume = "86",
pages = "50--51",
year = "1979"}
@INPROCEEDINGS{mBAR00a,
AUTHOR = "J. Bar{\'a}t and Y. Edel and R. Hill and C. Jones
and I. Landjev and L. Storme",
TITLE ={Caps in {PG$(5,3)$} and {PG$(6,3)$}},
BOOKTITLE ={Proceedings of the Seventh International Workshop
"Algebraic and Combinatorial Coding Theory"
18-24 June 2000, {B}ansko, {B}ulgaria},
YEAR ={2000},
PAGES ={65--67},
}
@ARTICLE{mBAR04a,
AUTHOR = "J. Bar{\'a}t and Y. Edel and R. Hill and L. Storme",
TITLE ={On complete caps in the projective geometries over
$\mathbb{F}_3$ {II:} New improvements},
JOURNAL = {Journal of Combinatorial Mathematics and Combinatorial Computing},
YEAR ={2004},
VOLUME ={49},
PAGES ={9--31},
}
@Book{mBEA84a,
author = "K. G. Beauchamp",
title = "Applications of {W}alsh and related Functions",
publisher = "Academic Press",
year = "1984",
address = "London",
OPTannote = ""
}
@article{mBER70a,
author = {E. R. Berlekamp},
title = {Factoring Polynomials over large finite fields},
journal = {Math. Comp.},
year = {1970},
volume = {24},
pages = {713--735}}
@book{mBER84a,
author = {E. R. Berlekamp},
title = {Algebraic coding theory},
publisher = {Aegean Park Press},
address = {Laguna Hills, CA, USA},
year = {1984}
}
@ARTICLE{mBIE94a,
AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
TITLE ={Theory of perpendicular arrays},
JOURNAL ={Journal of Combinatorial Designs},
YEAR ={1994},
VOLUME ={5},
PAGES ={375--406},
}
@ARTICLE{mBIE96a,
AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel and Stephen Black",
TITLE ={Some {$t$}-homogeneous sets of permutations},
JOURNAL ={Designs, Codes and Cryptography},
YEAR ={1996},
VOLUME ={9},
PAGES ={29--38},
}
@ARTICLE{mBIE97a,
AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
TITLE ={New code-parameters from {R}eed-{S}olomon subfield codes},
JOURNAL = {{IEEE} Transactions on Information Theory},
YEAR ={1997},
VOLUME ={43},
PAGES ={953--968},
}
@ARTICLE{mBIE97b,
AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
TITLE ={Extending and lengthening {$BCH$}-codes},
JOURNAL = {Finite Fields and their Applications},
YEAR ={1997},
VOLUME ={3},
PAGES ={314--333},
}
@ARTICLE{mBIE97c,
AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
TITLE ={A family of 2-weight codes related to {$BCH$}-codes},
JOURNAL = {Journal of Combinatorial Designs},
YEAR ={1997},
VOLUME ={5},
PAGES ={391--396},
}
@ARTICLE{mBIE99a,
AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
TITLE ={Halving {$PSL(2,q)$}},
JOURNAL = {Journal of Geometry},
YEAR ={1999},
VOLUME ={64},
PAGES ={51--54},
}
@ARTICLE{mBIE99b,
AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel and Ludo Tolhuizen",
TITLE ={New codes via the lengthening of {BCH} codes with {UEP} codes },
JOURNAL = {Finite Fields and their Applications},
YEAR ={1999},
VOLUME ={5},
PAGES ={345--353},
}
@ARTICLE{mBIE00a,
AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
TITLE ={Quantum twisted codes},
JOURNAL = {Journal of Combinatorial Designs},
YEAR ={2000},
VOLUME ={8},
PAGES ={174--188},
}
@ARTICLE{mBIE00a,
AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
TITLE ={Dense sphere packings from new codes},
JOURNAL = {Journal of Algebraic Combinatorics},
YEAR ={2000},
VOLUME ={11},
PAGES ={95--100},
}
@ARTICLE{mBIE00b,
AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
TITLE ={A family of caps in projective 4-space in odd characteristic},
JOURNAL = {Finite Fields and their Applications},
YEAR ={2000},
VOLUME ={6 },
PAGES ={283--293 },
}
@ARTICLE{mBIE01a,
AUTHOR = "J{\"u}rgen Bierbrauer and Antonio Cossidente and Yves Edel",
TITLE ={Caps on classical varieties and their projections},
JOURNAL = {European Journal of Combinatorics},
YEAR ={2001},
VOLUME ={22},
PAGES ={135--143},
}
@ARTICLE{mBIE02a,
AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
TITLE ={Bounds on affine caps},
JOURNAL = {Journal of Combinatorial Designs},
YEAR ={2002},
VOLUME ={10},
PAGES ={111--115},
}
@ARTICLE{mBIE02b,
AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel and Wolfgang Ch.Schmid",
TITLE ={Coding-theoretic constructions for $(t,m,s)$-nets
and ordered orthogonal arrays},
JOURNAL = {Journal of Combinatorial Designs},
YEAR ={2002},
VOLUME ={10},
PAGES ={403--418},
}
@article{mBIE03a,
author = {J. Bierbrauer},
title = {Large Caps},
journal = {Journal of Geometry},
year = {2003},
volume = {76},
pages = {16--51}}
@ARTICLE{mBIE03b,
AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
TITLE ={The largest cap in {$AG(4,4)$} and its uniqueness},
JOURNAL ={Designs, Codes and Cryptography
(Proceedings of Finite Geometries, {O}berwolfach 2001)},
YEAR ={2003},
VOLUME ={29},
PAGES ={99--104},
}
@book{mBIE04a,
author = {J. Bierbrauer},
title = {Introduction to Coding Theory},
publisher = {Chapman and Hall/CRC Press},
address = {Boca Raton, FL, USA},
year = {2004}
}
@ARTICLE{mBIE05a,
AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
TITLE ={A Family of Binary {$(t ,m, s)$}-Nets of Strength {$5$}},
JOURNAL ={Designs, Codes and Cryptography},
YEAR ={2005},
VOLUME ={37},
PAGES ={211--215},
}
@Book{mBRE78a,
author = "C. Brezinski",
title = "Algorithmes d'Acc\'el\'eration de la Convergence",
series = "Collection langages et algorithmes de l'informatique",
publisher = "\'Editions Technip",
year = "1978",
url = "Paris",
OPTannote = ""
}
@phdthesis{mBUC08a,
author = "Kevin Buchin",
title = "Organizing Point Sets:
Space-Filling Curves, Delaunay Tessellations of Random Point Sets, and Flow Complexes",
address = "Department of Mathematics and Computer Science",
school = "Freien Universit{\"a}t Berlin",
year = "2008",
url = "http://www.diss.fu-berlin.de/diss/receive/FUDISS_thesis_000000003494",
OPTannote = "space-filling curve, traveling salesman"
}
@BOOK {mCAS97a,
AUTHOR="J. Cassels",
TITLE={An Introduction to the Geometry of Numbers},
series = {Classics in Mathematics},
PUBLISHER="Springer-Verlag",
address = "Berlin",
note = {Corrected reprint of the 1971 edition},
YEAR={1997} }
@TECHREPORT {mCLE62a,
AUTHOR="C. W. Clenshaw",
TITLE="Chebychev Series for Mathematical Functions",
INSTITUTION="Her Majesty's Stationery Office, London",
type="National Physical Laboratory Mathematical Tables",
YEAR={1962},
NUMBER={5}}
@ARTICLE {mCOH87a,
AUTHOR="H. Cohen and A. K. Lenstra",
TITLE="Implementation of a New Primality Test",
JOURNAL={Mathematics of Computation},
VOLUME={48},
YEAR={1987},
NUMBER={177},
PAGES={103--121} }
@INPROCEEDINGS{mCOH96a,
AUTHOR = "??",
TITLE ={??},
booktitle = {Algorithmic Number Theory Symposium 1996},
editor = {H. Cohen},
publisher = {Springer-Verlag},
address = {Berlin},
year = {1996},
series = {Lecture Notes in computer science} }
@BOOK {mCON72a,
AUTHOR="S. D. Conte and C. {de Boor}",
TITLE="Elementary Numerical Analysis: An Algorithmic Approach",
PUBLISHER="McGraw-Hill",
edition="second",
YEAR={1972} }
@BOOK {mCON80a,
AUTHOR="S. D. Conte and C. {de Boor}",
TITLE="Elementary Numerical Analysis: An Algorithmic Approach",
PUBLISHER="McGraw-Hill",
ADDRESS={New York, Montreal},
SERIES="International series in pure and applied mathematics",
edition="third",
YEAR={1980} }
@BOOK {mCON88a,
AUTHOR="J. H. Conway and N. J. A. Sloane",
TITLE={Sphere Packings, Lattices and Groups},
PUBLISHER="Springer-Verlag",
SERIES="Grundlehren der Mathematischen Wissenschaften 290",
ADDRESS={New York},
YEAR={1988} }
@BOOK {mCON99a,
AUTHOR="J. H. Conway and N. J. A. Sloane",
TITLE={Sphere Packings, Lattices and Groups},
PUBLISHER="Springer-Verlag",
SERIES="Grundlehren der Mathematischen Wissenschaften 290",
EDITION={3rd},
ADDRESS={New York},
cote = {QA 3 G78},
YEAR={1999} }
@BOOK {mCON01a,
AUTHOR="E. H. Connell",
TITLE="Elements of Abstract and Linear Algebra",
note={See \url{http:www.math.miami.edu/~ec/book/}},
YEAR={2001}
}
@BOOK {mDAL08a,
AUTHOR="G. Dahlquist and A. Bjorck",
TITLE={Numerical methods in scientific computing},
PUBLISHER="Society for Industrial and Applied Mathematics ({SIAM})",
ADDRESS={Philadelphia},
YEAR={2008} }
@BOOK {mDAV84a,
AUTHOR="P. Davis and P. Rabinowitz",
TITLE={Methods of Numerical Integration},
PUBLISHER="Academic Press",
edition={second},
ADDRESS={New York},
YEAR={1984} }
@Book{mDEB78a,
author = {C. {de Boor}},
title = {A Practical Guide to Splines},
publisher = {Springer-Verlag},
year = {1978},
number = {27},
series = {Applied Mathematical Sciences Series},
address = {New York},
OPTannote = {}
}
@Book{mDEB01a,
author = {C. {de Boor}},
title = {A Practical Guide to Splines},
publisher = {Springer-Verlag},
edition = {second},
year = {2001},
OPTseries = {Applied Mathematical Sciences Series},
address = {New York},
OPTannote = {}
}
@BOOK {mDEO74a,
AUTHOR="N. Deo",
TITLE={Graph Theory with Applications to Engineering and
Computer Science},
PUBLISHER="Prentice-Hall",
ADDRESS={Englewood Cliffs, N.J.},
YEAR={1974} }
@article{mDIC13a,
author = {J. Dick and F. Y. Kuo and I. H. Sloan},
title = {High dimensional integration---the quasi-{Monte Carlo} way},
journal = {Acta Numerica},
volume = {22},
year = {2013},
pages = {133--288},
OPTannote = {A preprint version is available here. The published version can also be found on the authors website here}
}
@Book{mDIE69a,
author = {J. Dieudonn\'e},
title = {Foundations of Modern Analysis},
publisher = {Academic Press},
year = {1969},
address = {New York},
edition = {second},
OPTannote = {}
}
@Book{mDUM99a,
author = {D.~S. Dummit and R.~M. Foote},
title = {Abstract Algebra},
publisher = {John Wiley and Sons},
year = {1999},
edition = {second},
OPTannote = {}
}
@ARTICLE{mEDE97a,
AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
TITLE ={Lengthening and the {G}ilbert-{V}arshamov bound},
JOURNAL = {{IEEE} Transactions on Information Theory},
YEAR ={1997},
VOLUME ={43},
PAGES ={991--992},
}
@ARTICLE{mEDE97b,
AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
TITLE ={Twisted {BCH}-codes},
JOURNAL = {Journal of Combinatorial Designs},
YEAR ={1997},
VOLUME ={5},
PAGES ={377--389},
}
@INPROCEEDINGS{mEDE98a,
AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
TITLE ={Construction of digital nets from {BCH}-codes},
booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 1996},
editor = {P. Hellekalek and G. Larcher and H. Niederreiter
and P. Zinterhof},
publisher = {Springer-Verlag},
address = {New York},
volume = {127},
pages = {221--231},
year = {1998},
series = {Lecture Notes in Statistics} }
@ARTICLE{mEDE98a,
AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
TITLE ={Inverting construction {$Y_1$}},
JOURNAL = {{IEEE} Transactions on Information Theory},
YEAR ={1998},
VOLUME ={44},
PAGES ={1993},
}
@ARTICLE{mEDE98b,
AUTHOR = "Y.~Edel and Eric M. Rains and Neil J. A. Sloane",
TITLE ={On Kissing Numbers in Dimensions 32 to 128},
JOURNAL = {Electronic Journal of Combinatorics},
YEAR ={1998},
VOLUME ={5},
NUMBER ={1},
PAGES ={R22},
}
@ARTICLE{mEDE99a,
AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
TITLE ={Some codes related to {BCH}-codes of low dimension},
JOURNAL = {Discrete Mathematics},
YEAR ={1999},
VOLUME ={205},
PAGES ={57--64},
ANNOTE ={reprinted in the special volume
``Discrete Mathematics'' Editor's Choice 1999},
}
@ARTICLE{mEDE99b,
AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
TITLE ={41 is the largest size of a cap in {PG$(4,4)$}},
JOURNAL = {Designs, Codes and Cryptography},
YEAR ={1999},
VOLUME ={16},
PAGES ={151--160},
}
@ARTICLE{mEDE99c,
AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
TITLE ={Recursive constructions for large caps},
JOURNAL = {Bulletin of the Belgian Mathematical Society - Simon Stevin},
YEAR ={1999},
VOLUME ={6},
PAGES ={249--258},
}
@INPROCEEDINGS{mEDE99d,
AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
TITLE ={A family of caps in projective 4-space in characteristic 2},
BOOKTITLE = {Congressus Numerantium,
Proceedings of the Southeastern Conference 1999},
YEAR ={1999},
VOLUME ={6},
PAGES ={191--202},
}
@ARTICLE{mEDE01a,
AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
TITLE ={Large caps in small spaces},
JOURNAL = {Designs, Codes and Cryptography},
YEAR ={2001},
VOLUME ={23},
PAGES ={197--212},
}
@ARTICLE{mEDE01b,
AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
TITLE ={Families of ternary {$(t,m,s)$}-nets related to {BCH}-codes},
JOURNAL = {Monatshefte f{\"u}r Mathematik},
YEAR ={2001},
VOLUME ={132},
PAGES ={99--103},
}
@ARTICLE{mEDE01c,
AUTHOR = "Yves Edel and Sandy Ferret and Ivan Landjev and Leo Storme",
TITLE ={The classification of the largest caps in {AG$(5,3)$}},
JOURNAL = {Journal of Combinatorial Theory {(A)}},
YEAR ={2001},
VOLUME ={99},
PAGES ={95--110},
}
@ARTICLE{mEDE04a,
AUTHOR = "Yves Edel",
TITLE ={Extensions of generalized product caps},
JOURNAL = {Designs, Codes and Cryptography},
YEAR ={2004},
VOLUME ={31},
PAGES ={5--14},
}
@ARTICLE{mEDE04b,
AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
TITLE ={Caps of order {$3q^2$} in affine 4-space in characteristic 2},
JOURNAL ={Finite Fields and their Applications},
YEAR ={2004},
VOLUME ={10},
PAGES ={168--182},
}
@ARTICLE{mEDE05a,
AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
TITLE ={Families of nets of low and medium strength},
JOURNAL ={Integers: Electronic Journal of Combinatorial Number Theory},
YEAR ={2005},
VOLUME ={5},
NUMBER = {3},
NOTE ={{http://www.integers-ejcnt.org/vol5-3.html}},
}
@ARTICLE{mEDE06a,
AUTHOR = "Yves Edel and Gohar Kyureghyan and Alexander Pott",
TITLE ={A new {APN} function which is not equivalent to a power mapping},
JOURNAL ={{IEEE} Transactions on Information Theory},
YEAR ={2006},
VOLUME ={52},
NUMBER = {2},
PAGES ={744--747},
}
@ARTICLE{mEDE07a,
AUTHOR = "Yves Edel and Leo Storme and Peter Sziklai",
TITLE ={New upper bounds for the sizes of caps in {PG$(N,5)$} and
{PG$(N,7)$}},
JOURNAL ={Journal of Combinatorial Mathematics and Combinatorial Computing},
YEAR ={{\noopsort{a}} to appear },
}
@ARTICLE{mEDE07b,
AUTHOR = "Yves Edel and Christian Elsholtz and Alfred Geroldinger
and Silke Kubertin and Laurence Rackham",
TITLE ={Zero-sum problems in finite abelian groups and affine caps},
JOURNAL ={Quarterly Journal of Mathematics},
YEAR ={{\noopsort{a}} to appear },
}
@ARTICLE{mEDE07c,
AUTHOR = "Yves Edel",
TITLE ={A Product Construction for Sequences in Finite Abelian
Groups {$G$} of odd Order without Zero-Sum Subsequences
of Length {$exp(G)$}},
JOURNAL ={Designs, Codes and Cryptography},
YEAR ={{\noopsort{b}} submitted },
}
@book{mEVA00a,
author = {M. Evans and T. Swartz},
title = {Approximating Integrals via {M}onte {C}arlo and
Deterministic Methods},
publisher = {Oxford University Press},
year = {2000},
address = {Oxford, UK},
OPTnote = {},
OPTannote = {}
}
@ARTICLE {mFIN85a,
AUTHOR="U. Fincke and M. Pohst",
TITLE="Improved Methods for Calculating Vectors of Short Length in a
Lattice, Including a Complexity Analysis",
JOURNAL={Mathematics of Computation},
VOLUME={44},
YEAR={1985},
PAGES={463--471} }
@BOOK {mFOL92a,
xcote = {QA403.5.F65},
AUTHOR="G. B. Folland",
TITLE={Fourier Analysis and its Applications},
PUBLISHER="Wadsworth and Brooks",
address = {Pacific Grove, California},
YEAR={1992} }
@BOOK {mGOL89a,
AUTHOR="G. H. Golub and Ch. F. {Van Loan}",
TITLE={Matrix Computations},
EDITION={second},
PUBLISHER="John Hopkins University Press",
ADDRESS="Baltimore",
YEAR={1989} }
@BOOK {mGOL91a,
AUTHOR = {B. Golubov and A. Efimov and V. Skvortsov},
TITLE = {Walsh Series and Transforms: Theory and Applications},
SERIES = {Mathematics and Applications: Soviet Series},
VOLUME = {64},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Boston},
YEAR = {1991} }
@BOOK {mGOL96a,
AUTHOR="G. H. Golub and Ch. F. {Van Loan}",
TITLE={Matrix Computations},
EDITION={third},
PUBLISHER="John Hopkins University Press",
ADDRESS="Baltimore",
YEAR={1996} }
@Book{mGOL98a,
author = {J. R. Goldman},
title = {The Queen of Mathematics: A Historically Motivated
Guide to Number Theory},
publisher = {A K Peters},
year = {1998},
address = {Wellesley, MA, USA},
annote = {number theory, Minkowski, lattices}
}
@book{mGOO88a,
author = "R. Goodman",
title = "Introduction to Stochastic Models",
publisher = "Benjamin/Cumming",
ADDRESS={Menlo Park, California, USA},
year = {1988}
}
@incollection {mGOT94a,
AUTHOR = {G{\"o}ttfert, Rainer and Niederreiter, Harald},
TITLE = {Hasse-{T}eichm\"uller derivatives and products of linear
recurring sequences},
BOOKTITLE = {Finite fields: theory, applications, and algorithms (Las Vegas,
NV, 1993)},
PAGES = {117--125},
SERIES = {Contemp. Math.},
VOLUME = {168},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
}
@article {mGOT95a,
AUTHOR = {G{\"o}ttfert, Rainer and Niederreiter, Harald},
TITLE = {On the minimal polynomial of the product of linear recurring
sequences},
NOTE = {Special issue dedicated to Leonard Carlitz},
JOURNAL = {Finite Fields and their Applications},
VOLUME = {1},
YEAR = {1995},
NUMBER = {2},
PAGES = {204--218},
ISSN = {1071-5797},
}
@BOOK {mGRA81a,
AUTHOR = "A. Graham",
TITLE = "Kronecker Products and Matrix Calculus: with Applications",
SERIES = "Ellis Horwood series in mathematics and its applications",
PUBLISHER = "Halsted Press",
ADDRESS = "Chichester",
YEAR = "1981"}
@BOOK {mGRA03a,
AUTHOR="A. Granas and J. Dugundji",
TITLE="Fixed Point Theory",
PUBLISHER={Springer-Verlag},
ADDRESS={New York},
YEAR={2003} }
@BOOK {mGRU87a,
AUTHOR="P. M. Gruber and C. G. Lekkerkerker",
TITLE="Geometry of Numbers",
PUBLISHER={North-Holland},
ADDRESS={Amsterdam},
YEAR={1987} }
@INCOLLECTION {mGRU93a,
AUTHOR="P. M. Gruber",
TITLE="Geometry of Numbers",
BOOKTITLE={Handbook of Convex Geometry},
EDITOR={P. M. Gruber and J. M. Wills},
PUBLISHER={Elsevier Science Publishers},
YEAR={1993},
PAGES={739--763} }
@BOOK {mGUI99a,
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YEAR={1999}}
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year=1983}
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publisher = {Springer-Verlag},
}
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ADDRESS={Oxford},
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}
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pages ="325--333",
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pages ="140--151",
year = "1962"}
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author = "E. Hlawka",
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booktitle ="Studies in Pure Mathematics:
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publisher= "Academic Press",
editor = "L. Mirsky",
pages ="121--129",
year = "1971"}
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author = "E. Hlawka and R. M{\"u}ck",
title = "{\"Uber} Eine Transformation von Gleichverteilten Folgen {II}",
journal ="Computing",
volume = "9",
pages ="127--138",
year = "1972"}
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AUTHOR="L. Hua and Y. Wang",
TITLE="Applications of Number Theory to Numerical Analysis",
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ADDRESS={Berlin},
YEAR={1981} }
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year = "1988"}
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address = {New York},
edition = {second},
OPTannote = {}
}
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publisher = {Springer-Verlag},
year = {1992},
address = {Berlin},
OPTedition = {third printing in 1999},
OPTannote = {}
}
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note = {in Russian},
}
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author = {N. M. Korobov},
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journal = {Dokl. Akad. Nauk {SSSR}},
year = {1960},
volume = {132},
pages = {1009--1012},
note = {in Russian},
}
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author = {N. M. Korobov},
title = {On the Computation of Optimal Coefficients},
journal = {Dokl. Akad. Nauk {SSSR}},
year = {1982},
volume = {267},
pages = {289--292},
note = {in Russian},
}
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author = {N. M. Korobov},
title = {Exponential Sums and their Applications},
publisher = {Kluwer Academic},
year = {1992},
address = {Dordrecht, Netherlands}}
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author = "T. Kumada and H. Leeb and Y. Kurita and M. Matsumoto",
title = "New primitive $t$-nomials $(t = 3,5)$ over {$GF(2)$}
whose degree is a {Mersenne} exponent",
journal = "Mathematics of Computation",
volume = "69",
number = "230",
pages = "811--814",
year = "2000",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibdate = "Wed Nov 1 11:50:03 MST 2000",
bibsource = "http://www.ams.org/mcom/2000-69-230",
Xnote = "See corrigenda \cite{mKUM02a}",
note = "See also corrigenda in 71, 239 (2002), 1337--1338",
URL = "http://www.ams.org/journal-getitem?pii=S0025-5718-99-01168-0;
http://www.ams.org/mcom/2000-69-230/S0025-5718-99-01168-0/S0025-5718-99-01168-0.pdf;
http://www.ams.org/mcom/2000-69-230/S0025-5718-99-01168-0/S0025-5718-99-01168-0.dvi;
http://www.ams.org/mcom/2000-69-230/S0025-5718-99-01168-0/S0025-5718-99-01168-0.tex;
http://www.ams.org/mcom/2000-69-230/S0025-5718-99-01168-0/S0025-5718-99-01168-0.ps",
acknowledgement = ack-nhfb,
}
@Article{mKUM02a,
author = "T. Kumada and H. Leeb and Y. Kurita and M. Matsumoto",
title = "Corrigenda to {``New primitive $t$-nomials $(t=3,5)$
over $GF(2)$ whose degree is a Mersenne exponent,''}
and some new primitive pentanomials",
journal = "Mathematics of Computation",
volume = "71",
number = "239",
pages = "1337--1338",
year = "2002",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Fri Nov 22 10:22:22 MST 2002",
bibsource = "http://www.ams.org/mcom/2002-71-239",
note = "See \cite{mKUM00a}.",
URL = "http://www.ams.org/journal-getitem?pii=S0025-5718-02-01487-4;
http://www.ams.org/mcom/2002-71-239/S0025-5718-02-01487-4/S0025-5718-02-01487-4.pdf;
http://www.ams.org/mcom/2002-71-239/S0025-5718-02-01487-4/S0025-5718-02-01487-4.dvi;
http://www.ams.org/mcom/2002-71-239/S0025-5718-02-01487-4/S0025-5718-02-01487-4.tex;
http://www.ams.org/mcom/2002-71-239/S0025-5718-02-01487-4/S0025-5718-02-01487-4.ps",
acknowledgement = ack-nhfb,
}
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author = {F. Y. Kuo and I. H. Sloan},
title = {Lifting the Curse of Dimensionality},
journal = {Notices of the {AMS}},
volume = {52},
number = {11},
year = {2005},
pages = {1320--1328}
}
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author = {F. Y. Kuo and I. H. Sloan and H. Wo\'zniakowski},
title = {Lattice Rule Algorithms for Multivariate Approximation
in the Average Case Setting},
journal = {Journal of Complexity},
volume = {24},
OPTnumber = {},
year = {2008},
pages = {283--323}
}
@BOOK {mLAN73a,
AUTHOR = "S. Lang",
TITLE = {Elliptic functions},
PUBLISHER = {Addison-Wesley},
ADDRESS = {Reading, Mass.},
YEAR = {1973} }
@incollection {mLAR93a,
AUTHOR = {Larcher, Gerhard and Niederreiter, Harald},
TITLE = {A lower bound for the dispersion of multidimensional sequences},
BOOKTITLE = {Analytic number theory and related topics (Tokyo, 1991)},
PAGES = {81--85},
PUBLISHER = {World Sci. Publishing},
ADDRESS = {River Edge, NJ},
YEAR = {1993},
}
@article {mLAR95a,
AUTHOR = {Larcher, Gerhard and Niederreiter, Harald},
TITLE = {Generalized $(t,s)$-sequences, {K}ronecker-type sequences, and
{D}iophantine approximations of formal {L}aurent series},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {347},
YEAR = {1995},
NUMBER = {6},
PAGES = {2051--2073},
ISSN = {0002-9947},
CODEN = {TAMTAM},
}
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AUTHOR="A. K. Lenstra and H. W. Lenstra and L. Lov{\'a}sz",
TITLE="Factoring Polynomials with Rational Coefficients",
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VOLUME={261},
PAGES={515--534},
YEAR={1982} }
@ARTICLE {mLEN85a,
AUTHOR="A. K. Lenstra",
TITLE="Factoring Multivariate Polynomials over Finite Fields",
JOURNAL={Journal of Computer and System Sciences},
VOLUME={30},
YEAR={1985},
PAGES={235--248} }
@BOOK {mLID86a,
AUTHOR="R. Lidl and H. Niederreiter",
TITLE={Introduction to Finite Fields and Their Applications},
PUBLISHER="Cambridge University Press",
ADDRESS={Cambridge},
YEAR={1986} }
@BOOK {mLID94a,
AUTHOR="R. Lidl and H. Niederreiter",
TITLE={Introduction to Finite Fields and Their Applications},
EDITION = {Revised},
PUBLISHER="Cambridge University Press",
ADDRESS={Cambridge},
YEAR={1994} }
@incollection {mLID96a,
AUTHOR = {Lidl, Rudolf and Niederreiter, Harald},
TITLE = {Finite fields and their applications},
BOOKTITLE = {Handbook of algebra, Vol.\ 1},
PAGES = {321--363},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1996},
}
@book {mLID97a,
AUTHOR = {Lidl, Rudolf and Niederreiter, Harald},
TITLE = {Finite fields},
EDITION = {Second},
xNOTE = {With a foreword by P. M.\ Cohn},
SERIES = {Encyclopedia of Mathematics and its Applications},
VOLUME = {20},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1997},
ISBN = {0-521-39231-4},
}
@book{mLIN92a,
author = {T. Lindvall},
title = {Lectures on the Coupling Method},
publisher = {John Wiley},
series={Wiley Series in Probability and Mathematical Statistics},
ADDRESS={New York},
year = {1992}
}
@BOOK {mLOV86a,
AUTHOR="L. Lov{\'a}sz",
TITLE={An Algorithmic Theory of Numbers, Graphs and Convexity},
SERIES={SIAM CBMS-NSF Regional Conference Series in
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NUMBER={50},
PUBLISHER="SIAM",
ADDRESS={Philadelphia},
YEAR={1986} }
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AUTHOR = {Lyness, J. N. and Sloan, I. H.},
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VOLUME = {53},
YEAR = {1989},
NUMBER = {188},
PAGES = {627--637},
ISSN = {0025-5718},
}
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VOLUME = {34},
YEAR = {1997},
NUMBER = {2},
PAGES = {586--602},
ISSN = {0036-1429}
}
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author = "J. N. Lyness",
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}
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NUMBER={2},
YEAR={1941},
PAGES={488-522} }
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address = {Berlin},
OPTannote = {lattice}
}
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JOURNAL ="IEEE Trans. Inf. Theor",
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PAGES = {122-127}}
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author = {J. Matou\v{s}ek},
ALTeditor = {},
title = {Geometric Discrepancy: An Illustrated Guide},
publisher = {Springer-Verlag},
year = {1999},
OPTcote = {QA241.7 M38},
address = {Berlin},
OPTannote = {discrepancy, uniformity}
}
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AUTHOR="R. J. McEliece",
TITLE={Finite Fields for Computer Scientists and Engineers},
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YEAR={1986},
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xSERIES={The Kluwer International Series in Engineering
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author = {A. J. Menezes and S. A. Vanstone and P. C. Van Oorschot},
title = {Handbook of Applied Cryptography},
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publisher = {CRC Press, Inc.}
}
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author = {M. Mignotte},
title = {Mathematics for computer algebra},
year = {1992},
isbn = {0387976752},
publisher = {Springer-Verlag, New York Inc.}
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author = {H. Minkowski},
ALTeditor = {},
title = {Gesammelte Abhandlungen},
publisher = {Teubner-Verlag},
year = {1911},
volume = {I and II},
address = {Leipzig},
OPTannote = {}
}
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AUTHOR="P. L. Montgomery",
TITLE="Speeding the Pollard and Elliptic Curve
Methods of Factorization",
JOURNAL={Mathematics of Computation},
VOLUME={48},
NUMBER={177},
YEAR={1987},
PAGES={243--264} }
@TECHREPORT {mMOR88a,
AUTHOR="F. Morain",
TITLE="Implementation of the {A}tkin-{G}oldwasser-{K}ilian
Primality Testing Algorithm",
NUMBER={911},
INSTITUTION={INRIA},
ADDRESS={Rocquencourt, France},
YEAR={1988} }
@BOOK {mNAR74a,
AUTHOR="W. Narkiewicz",
TITLE={Elementary and Analytic Theory of Algebraic Numbers},
PUBLISHER="PWN--Polish Scientific Publishers ",
ADDRESS={Warsaw},
YEAR={1974}}
@BOOK {mNAR84a,
AUTHOR="W. Narkiewicz",
TITLE={Uniform Distribution of Sequences of Integers in
Residue Classes},
SERIES={Lecture Notes in Mathematics},
NUMBER={1087},
PUBLISHER="Springer-Verlag",
YEAR={1984} }
@article {mNIE90a,
AUTHOR = {Niederreiter, Harald},
TITLE = {A short proof for explicit formulas for discrete logarithms in
finite fields},
JOURNAL = {Appl. Algebra Engrg. Comm. Comput.},
FJOURNAL = {Applicable Algebra in Engineering, Communication and Computing},
VOLUME = {1},
YEAR = {1990},
NUMBER = {1},
PAGES = {55--57},
ISSN = {0938-1279},
CODEN = {AAECEW},
}
@article {mNIE95a,
AUTHOR = {G{\"o}ttfert, Rainer and Niederreiter, Harald},
TITLE = {On the minimal polynomial of the product of linear recurring
sequences},
NOTE = {Special issue dedicated to Leonard Carlitz},
JOURNAL = {Finite Fields Appl.},
FJOURNAL = {Finite Fields and their Applications},
VOLUME = {1},
YEAR = {1995},
NUMBER = {2},
PAGES = {204--218},
ISSN = {1071-5797},
}
@article {mNIE95b,
AUTHOR = {Niederreiter, Harald and Xing, Chao Ping},
TITLE = {Low-discrepancy sequences obtained from algebraic function
fields over finite fields},
JOURNAL = {Acta Arith.},
FJOURNAL = {Acta Arithmetica},
VOLUME = {72},
YEAR = {1995},
NUMBER = {3},
PAGES = {281--298},
ISSN = {0065-1036},
CODEN = {AARIA9},
}
@article {mNIE96a,
AUTHOR = {Niederreiter, H. and Sloan, I. H.},
TITLE = {Variants of the {K}oksma-{H}lawka inequality for
vertex-modified quasi-{M}onte {C}arlo integration rules},
NOTE = {Monte Carlo and quasi-Monte Carlo methods},
JOURNAL = {Mathematical and Computer Modelling},
VOLUME = {23},
YEAR = {1996},
PAGES = {69--77},
ISSN = {0895-7177},
}
@article {mNIE96b,
AUTHOR = {Niederreiter, Harald and Xing, Chaoping},
TITLE = {Low-discrepancy sequences and global function fields with many
rational places},
JOURNAL = {Finite Fields and their Applications},
VOLUME = {2},
YEAR = {1996},
NUMBER = {3},
PAGES = {241--273},
ISSN = {1071-5797},
}
@article {mNIE96c,
AUTHOR = {Niederreiter, Harald and Vielhaber, Michael},
TITLE = {Tree complexity and a doubly exponential gap between structured
and random sequences},
JOURNAL = {J. Complexity},
FJOURNAL = {Journal of Complexity},
VOLUME = {12},
YEAR = {1996},
NUMBER = {3},
PAGES = {187--198},
ISSN = {0885-064X},
}
@article {mNIE97a,
AUTHOR = {Niederreiter, H. and Vielhaber, M.},
TITLE = {Linear complexity profiles: {H}ausdorff dimensions for almost
perfect profiles and measures for general profiles},
JOURNAL = {Journal of Complexity},
VOLUME = {13},
YEAR = {1997},
NUMBER = {3},
PAGES = {353--383},
ISSN = {0885-064X},
}
@BOOK {mNOB77a,
AUTHOR="B. Noble and J. W. Daniel",
TITLE={Applied Linear Algebra},
PUBLISHER={Prentice-Hall},
ADDRESS={Englewood Cliffs, N.J.},
Edition={second},
YEAR={1977} }
@book{mNOR97a,
author = {J. R. Norris},
title = {{M}arkov Chains},
series={Cambridge Series in Statistical and Probabilistic mathematics},
year = {1997},
ADDRESS={New York},
publisher = {Cambridge University Press}
}
@book{mOLV10a,
editor = "F.~W.~J. Olver and D.~W. Lozier and R.~F. Boisvert and C.~W. Clark",
title = "{NIST Handbook of Mathematical Functions}",
publisher = "Cambridge University Press",
address = "New York, NY",
year = "2010",
OPTnote = "Print companion to \cite{NIST:DLMF}"}
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author = {G. Pag\`es},
title = {A Space Quantization Method for Numerical Integration},
journal = {Journal of Computational and Applied Mathematics},
volume = {89},
pages = {1--38},
year = {1997}}
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AUTHOR="M. Pohst",
TITLE="On the Computation of Lattice Vectors of
Minimal Length, Successive Minima and
Reduced Bases with Applications",
JOURNAL={ACM SIGSAM Bulletin},
VOLUME={15},
YEAR={1961},
PAGES={37--44} }
@TECHREPORT {mPOL93a,
AUTHOR="D. S. G. Pollock ",
TITLE="Smoothing with cubic splines",
INSTITUTION={University of London, Queen Mary and Westfield College},
ADDRESS={London},
YEAR={1993} }
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author = {V. V. Prasolov},
title = {Polynomials},
series={Algorithms and computation in mathematics},
volume={11},
publisher = {Springer-Verlag},
year = {2004},
address = {Berlin}
}
@BOOK{mPRE92a,
edition={3d},
author={W. H. Press and S. A. Teukolsky and W. T. Vetterling and B. P. Flannery},
title={Numerical Recipes in {C}: The Art of Scientific Computing},
publisher={Cambridge University Press},
address={Cambridge},
year=1992,
}
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AUTHOR = {Price, J. F. and Sloan, I. H.},
TITLE = {Pointwise convergence of multiple {F}ourier series: sufficient
conditions and an application to numerical integration},
JOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {169},
YEAR = {1992},
NUMBER = {1},
PAGES = {140--156},
ISSN = {0022-247X},
}
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author = {P. E. Protter},
title = {Stochastic Integration and Differential Equations},
publisher = {Springer-Verlag},
edition = {second},
year = {2004},
address = {Berlin}
}
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author = {A. Quarteroni and R. Sacco and F. Saleri},
title = {Numerical mathematics},
publisher = {Springer},
year = {2000},
address = {New York}
}
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AUTHOR="T. {van Ravenstein}",
TITLE="The Three Gap Theorem ({S}teinhaus Conjecture)",
JOURNAL={Journal of the Australian Mathematical Society, Series A},
VOLUME={45},
number = {3},
YEAR={1988},
PAGES={360--370} }
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AUTHOR="{Ch.} H. Reinsch",
TITLE="Smoothing by Spline Functions",
JOURNAL={Numerische Mathematik},
VOLUME={10},
OPTnumber = {},
YEAR={1967},
PAGES={177--183} }
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author = {R. T. Rockafellar},
ALTeditor = {},
title = {Convex Analysis},
publisher = {Princeton University Press},
year = {1970},
address = {Princeton, New Jersey},
OPTedition = {},
OPTannote = {}
}
@Book{mRUD74a,
author = {W. Rudin},
title = {Real and Complex Analysis},
publisher = {McGraw-Hill},
year = {1974},
address = {New York},
edition = {second},
OPTannote = {}
}
@Book{mRUD76a,
author = {W. Rudin},
title = {Principles of Mathematical Analysis},
publisher = {McGraw-Hill},
year = {1976},
address = {New York},
edition = {third},
OPTannote = {}
}
@ARTICLE {mRYS71a,
AUTHOR="S. S. Ryshkov",
TITLE="On the Reduction Theory of Positive Quadratic Forms",
JOURNAL={Soviet Math. Doklady},
NOTE={(Russian Translation)},
VOLUME={12},
YEAR={1971},
PAGES={946--950} }
@ARTICLE {mRYS72a,
AUTHOR="S. S. Ryshkov",
TITLE="On Hermite, {M}inkowski, and {V}enkov Reduction of
Positive Quadratic Forms in $n$ Variables",
JOURNAL={Soviet Math. Doklady},
NOTE={(Russian Translation)},
VOLUME={13},
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ISSN = {0025-5718}
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AUTHOR="E. Thom\'e",
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keywords = {numerical integration}
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