Unusual applications of number theory : DIMACS Workshop, Unusual Applications of Number Theory, January 10-14, 2000, DIMACS Center
著者
書誌事項
Unusual applications of number theory : DIMACS Workshop, Unusual Applications of Number Theory, January 10-14, 2000, DIMACS Center
（DIMACS series in discrete mathematics and theoretical computer science, v. 64）
American Mathematical Society, c2004
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注記
"This volume contains the proceedings of the workshop held at the DIMACS Center of Rutger University (Piscataway, NJ) on Unusual Applications of Number Theory."--P. [4] of cover
Includes bibliographical references
内容説明・目次
内容説明
This volume contains the proceedings of the workshop held at the DIMACS Center of Rutgers University (Piscataway, NJ) on Unusual Applications of Number Theory. Standard applications of number theory are to computer science and cryptology. In this volume, well-known number theorist, Melvyn B. Nathanson, gathers articles from the workshop on other, less standard applications in number theory, as well as topics in number theory with potential applications in science and engineering. The material is suitable for graduate students and researchers interested in number theory and its applications.
目次
A four parameter generalization of Gollnitz's (big) partition theorem by K. Alladi, G. E. Andrews, and A. Berkovich The Friedman-Joichi-Stanton monotonicity conjecture at primes by G. E. Andrews A group theoretic approach to public-key cryptography by I. Anshel, M. Anshel, B. Fisher, and D. Goldfeld Dedekind sums: A combinatorial-geometric viewpoint by M. Beck and S. Robins Noncommutative number theory by P. B. Cohen An application of structure theory of set addition to a question in ergodic theory by J.-M. Deshouillers, G. A. Freiman, and A. A. Yudin Linear algebra and additive theory by J. A. Dias da Silva On the distribution of the power generator modulo a prime power by J. B. Friedlander, J. S. d. Hansen, and I. E. Shparlinski Number theoretical error estimates in a quantization scheme for bandlimited signals by C. S. Gunturk Random walks with badly approximable numbers by D. Hensley and F. E. Su Distribution of values of real quadratic zeta functions by J. Holden Standardizing nonstandard methods for upper Banach density problems by R. Jin On homogeneous linear recurrence relations and approximation of zeros of complex polynomials by B. Kalantari Formal power series arising from multiplication of quantum integers by M. B. Nathanson Formal languages and number theory by J. Shallit Lattices, cryptography, and the NTRU public key cryptosystem by J. H. Silverman Zeta functions of graph coverings by H. M. Stark and A. A. Terras Comparison of Selberg's trace formula with its discrete analogues by A. Terras Unusual applications of quadratic Gaussian sums by C. J. Moreno and A. Wan.
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