Holdings: Unusual applications of number theory

Unusual applications of number theory: DIMACS workshop, unusual applications of number theory, January 10-14, 2000, DIMACS Center

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Bibliographic Details
Format:	Book
Language:	English
Published:	Providence, R.I. American Mathematical Society 2004
Series:	DIMACS series in discrete mathematics and theoretical computer science 64
Subjects:	Nombres, Théorie des - Congrès Teoria dos números (congressos) aNumber theory > vCongresses Zahlentheorie Konferenzschrift > 2000 > Piscataway
Online Access:	Inhaltsverzeichnis
Physical Description:	vii, 264 p. ill. 26 cm
ISBN:	0821827030

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MARC


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adam_text	Contents Foreword v Preface vii A four parameter generalization of Gollnitz s (big) partition theorem K. Alladi, G. E. Andrews, and A. Berkovich 1 The Friedman Joichi Stanton monotonicity conjecture at primes George E. Andrews 9 A group theoretic approach to public key cryptography Iris Anshel, Michael Anshel, Benji Fisher, and Dorian Goldfeld 17 Dedekind sums: a combinatorial geometric viewpoint Matthias Beck and Sinai Robins 25 Noncommutative number theory Paula B. Cohen 37 An application of structure theory of set addition to a question in ergodic theory Jean Marc Deshouillers, Gregory Freiman, and Alexander A. Yudin 53 Linear algebra and additive theory J. A. DiAS da Silva 61 On the distribution of the power generator modulo a prime power John B. Friedlander, Jan S. dT. Hansen, and Igor E. Shparlinski 71 Number theoretical error estimates in a quantization scheme for bandlimited signals C. SlNAN GUNTURK 81 Random walks with badly approximable numbers Doug Hensley and Francis Edward Su 95 Distribution of values of real quadratic zeta functions Joshua Holden 103 iii iv CONTENTS Standardizing nonstandard methods for upper Banach density problems Renling Jin 109 On homogeneous linear recurrence relations and approximation of zeros of complex polynomials Bahman Kalantari 125 Formal power series arising from multiplication of quantum integers Melvyn B. Nathanson 145 Formal languages and number theory Jeffrey Shallit 169 Lattices, cryptography, and the NTRU public key cryptosystem Joseph H. Silverman 183 Zeta functions of graph coverings H. M. Stark and A. A. Terras 199 Comparison of Selberg s trace formula with its discrete analogues Audrey Terras 213 Unusual applications of quadratic Gaussian sums Carlos Julio Moreno and Aaron Wan 227
adam_txt	Contents Foreword v Preface vii A four parameter generalization of Gollnitz's (big) partition theorem K. Alladi, G. E. Andrews, and A. Berkovich 1 The Friedman Joichi Stanton monotonicity conjecture at primes George E. Andrews 9 A group theoretic approach to public key cryptography Iris Anshel, Michael Anshel, Benji Fisher, and Dorian Goldfeld 17 Dedekind sums: a combinatorial geometric viewpoint Matthias Beck and Sinai Robins 25 Noncommutative number theory Paula B. Cohen 37 An application of structure theory of set addition to a question in ergodic theory Jean Marc Deshouillers, Gregory Freiman, and Alexander A. Yudin 53 Linear algebra and additive theory J. A. DiAS da Silva 61 On the distribution of the power generator modulo a prime power John B. Friedlander, Jan S. dT. Hansen, and Igor E. Shparlinski 71 Number theoretical error estimates in a quantization scheme for bandlimited signals C. SlNAN GUNTURK 81 Random walks with badly approximable numbers Doug Hensley and Francis Edward Su 95 Distribution of values of real quadratic zeta functions Joshua Holden 103 iii iv CONTENTS Standardizing nonstandard methods for upper Banach density problems Renling Jin 109 On homogeneous linear recurrence relations and approximation of zeros of complex polynomials Bahman Kalantari 125 Formal power series arising from multiplication of quantum integers Melvyn B. Nathanson 145 Formal languages and number theory Jeffrey Shallit 169 Lattices, cryptography, and the NTRU public key cryptosystem Joseph H. Silverman 183 Zeta functions of graph coverings H. M. Stark and A. A. Terras 199 Comparison of Selberg's trace formula with its discrete analogues Audrey Terras 213 Unusual applications of quadratic Gaussian sums Carlos Julio Moreno and Aaron Wan 227
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title	Unusual applications of number theory DIMACS workshop, unusual applications of number theory, January 10-14, 2000, DIMACS Center
title_auth	Unusual applications of number theory DIMACS workshop, unusual applications of number theory, January 10-14, 2000, DIMACS Center
title_exact_search	Unusual applications of number theory DIMACS workshop, unusual applications of number theory, January 10-14, 2000, DIMACS Center
title_exact_search_txtP	Unusual applications of number theory DIMACS workshop, unusual applications of number theory, January 10-14, 2000, DIMACS Center
title_full	Unusual applications of number theory DIMACS workshop, unusual applications of number theory, January 10-14, 2000, DIMACS Center Melvyn B. Nathanson, ed.
title_fullStr	Unusual applications of number theory DIMACS workshop, unusual applications of number theory, January 10-14, 2000, DIMACS Center Melvyn B. Nathanson, ed.
title_full_unstemmed	Unusual applications of number theory DIMACS workshop, unusual applications of number theory, January 10-14, 2000, DIMACS Center Melvyn B. Nathanson, ed.
title_short	Unusual applications of number theory
title_sort	unusual applications of number theory dimacs workshop unusual applications of number theory january 10 14 2000 dimacs center
title_sub	DIMACS workshop, unusual applications of number theory, January 10-14, 2000, DIMACS Center
topic	Nombres, Théorie des - Congrès Teoria dos números (congressos) larpcal aNumber theory vCongresses Zahlentheorie (DE-588)4067277-3 gnd
topic_facet	Nombres, Théorie des - Congrès Teoria dos números (congressos) aNumber theory vCongresses Zahlentheorie Konferenzschrift 2000 Piscataway
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