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Unusual Applications of Number Theory
About this Title
Melvyn B. Nathanson, Herbert H. Lehman College, CUNY, New York, NY, Editor
Publication: DIMACS Series in Discrete Mathematics and Theoretical Computer Science
Publication Year:
2004; Volume 64
ISBNs: 978-0-8218-2703-1 (print); 978-1-4704-4022-0 (online)
DOI: https://doi.org/10.1090/dimacs/064
MathSciNet review: MR2063195
MSC: Primary 11-06
Table of Contents
Front/Back Matter
Chapters
- A four parameter generalization of Göllnitz’s (big) partition theorem
- The Friedman-Joichi-Stanton monotonicity conjecture at primes
- A group theoretic approach to public-key cryptography
- Dedekind sums: A combinatorial-geometric viewpoint
- Noncommutative number theory
- An application of structure theory of set addition to a question in ergodic theory
- Linear algebra and additive theory
- On the distribution of the power generator modulo a prime power
- Number theoretical error estimates in a quantization scheme for bandlimited signals
- Random walks with badly approximable numbers
- Distribution of values of real quadratic zeta functions
- Standardizing nonstandard methods for upper Banach density problems
- On homogeneous linear recurrence relations and approximation of zeros of complex polynomials
- Formal power series arising from multiplication of quantum integers
- Formal languages and number theory
- Lattices, cryptography, and the NTRU public key cryptosystem
- Zeta functions of graph coverings
- Comparison of Selberg’s trace formula with its discrete analogues
- Unusual applications of quadratic Gaussian sums