DIMACS: Series in Discrete Mathematics and Theoretical Computer Science 2004; 264 pp; hardcover Volume: 64 ISBN10: 0821827030 ISBN13: 9780821827031 List Price: US$103 Member Price: US$82.40 Order Code: DIMACS/64
 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, wellknown 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. Copublished with the Center for Discrete Mathematics and Theoretical Computer Science beginning with Volume 8. Volumes 17 were copublished with the Association for Computer Machinery (ACM). Readership Graduate students and research mathematicians interested in number theory and applications. Table of Contents  K. Alladi, G. E. Andrews, and A. Berkovich  A four parameter generalization of Göllnitz's (big) partition theorem
 G. E. Andrews  The FriedmanJoichiStanton monotonicity conjecture at primes
 I. Anshel, M. Anshel, B. Fisher, and D. Goldfeld  A group theoretic approach to publickey cryptography
 M. Beck and S. Robins  Dedekind sums: A combinatorialgeometric viewpoint
 P. B. Cohen  Noncommutative number theory
 J.M. Deshouillers, G. A. Freiman, and A. A. Yudin  An application of structure theory of set addition to a question in ergodic theory
 J. A. Dias da Silva  Linear algebra and additive theory
 J. B. Friedlander, J. S. d. Hansen, and I. E. Shparlinski  On the distribution of the power generator modulo a prime power
 C. S. Güntürk  Number theoretical error estimates in a quantization scheme for bandlimited signals
 D. Hensley and F. E. Su  Random walks with badly approximable numbers
 J. Holden  Distribution of values of real quadratic zeta functions
 R. Jin  Standardizing nonstandard methods for upper Banach density problems
 B. Kalantari  On homogeneous linear recurrence relations and approximation of zeros of complex polynomials
 M. B. Nathanson  Formal power series arising from multiplication of quantum integers
 J. Shallit  Formal languages and number theory
 J. H. Silverman  Lattices, cryptography, and the NTRU public key cryptosystem
 H. M. Stark and A. A. Terras  Zeta functions of graph coverings
 A. Terras  Comparison of Selberg's trace formula with its discrete analogues
 C. J. Moreno and A. Wan  Unusual applications of quadratic Gaussian sums
