Unusual Applications of Number Theory: DIMACS Workshop, Unusual Applications of Number Theory, January 10-14, 2000, DIMACS Center

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Melvyn Bernard Nathanson
American Mathematical Soc., 2004 - Literary Criticism - 264 pages
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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.
 

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Contents

The FriedmanJoichiStanton monotonicity conjecture at primes
11
a combinatorialgeometric viewpoint
25
An application of structure theory of set addition to a question
53
On the distribution of the power generator modulo a prime power
71
Random walks with badly approximable numbers
95
Standardi2ing nonstandard methods for upper Banach density problems
109
On homogeneous linear recurrence relations and approximation of zeros
125
Formal power series arising from multiplication of quantum integers
145
Formal languages and number theory
169
Lattices cryptography and the NTRU public key cryptosystem
183
Zeta functions of graph coverings
199
Comparison of Selbergs trace formula with its discrete analogues
213
Unusual applications of quadratic Gaussian sums
227
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Page 7 - K. Alladi, GE Andrews, and B. Gordon, Generalizations and refinements of a partition theorem of Gollnitz, J.
Page 1 - The research of the first and third authors was supported, in part, by NSF grant no.: IIS-0002647.

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