Unusual applications of number theory : DIMACS workshop, unusual applications of number theory, January 10-14, 2000, DIMACS Center / Melvyn B. Nathanson, editor.
Series DIMACS series in discrete mathematics and theoretical computer science ; v. 64Editor: Providence, R.I. : American Mathematical Society, c2004Descripción: vii, 264 p. : ill. ; 26 cmISBN: 0821827030 (acidfree paper)Tema(s): Number theory -- CongressesOtra clasificación: *CODIGO*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 FYiedman-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. Sinan Gunturk [81] -- Random walks with badly approximate numbers -- Doug Hensley and Francis Edward Su [95] -- Distribution of values of real quadratic zeta functionsJoshua Holden [103] -- Standaring nonstandard methods for upper Banach density problems -- Renling Jin [109] -- On homogeneous linear recurrence relations and approximation of zeros of complex polynomils -- Bahman Kalantari [125] -- Formal power series arising from multiplication of quantum integers -- Melvyn B. Nathanson [145] -- Formal languages and number theory -- Jeffrey Shalut [169] -- Lattices, cryptography, and the NTRU public key cryptosystem -- Joseph H Silverman [183] -- Zeta functions of graph coverings -- H. M Stark ano 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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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 FYiedman-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. Sinan Gunturk [81] --
Random walks with badly approximate numbers --
Doug Hensley and Francis Edward Su [95] --
Distribution of values of real quadratic zeta functionsJoshua Holden [103] --
Standaring nonstandard methods for upper Banach density problems --
Renling Jin [109] --
On homogeneous linear recurrence relations and approximation of zeros of complex polynomils --
Bahman Kalantari [125] --
Formal power series arising from multiplication of quantum integers --
Melvyn B. Nathanson [145] --
Formal languages and number theory --
Jeffrey Shalut [169] --
Lattices, cryptography, and the NTRU public key cryptosystem --
Joseph H Silverman [183] --
Zeta functions of graph coverings --
H. M Stark ano 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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