| Hardcover ISBN: | 978-0-8218-2703-1 |
| Product Code: | DIMACS/64 |
| List Price: | $110.00 |
| MAA Member Price: | $99.00 |
| AMS Member Price: | $88.00 |
| Electronic ISBN: | 978-1-4704-4022-0 |
| Product Code: | DIMACS/64.E |
| List Price: | $103.00 |
| MAA Member Price: | $92.70 |
| AMS Member Price: | $82.40 |
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Book DetailsDIMACS - Series in Discrete Mathematics and Theoretical Computer ScienceVolume: 64; 2004; 264 ppMSC: Primary 11;
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.ReadershipGraduate students and research mathematicians interested in number theory and applications.
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Table of Contents
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Chapters
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A four parameter generalization of Göllnitz’s (big) partition theorem
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The Friedman-Joichi-Stanton monotonicity conjecture at primes
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A group theoretic approach to public-key cryptography
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Dedekind sums: A combinatorial-geometric viewpoint
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Noncommutative number theory
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An application of structure theory of set addition to a question in ergodic theory
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Linear algebra and additive theory
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On the distribution of the power generator modulo a prime power
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Number theoretical error estimates in a quantization scheme for bandlimited signals
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Random walks with badly approximable numbers
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Distribution of values of real quadratic zeta functions
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Standardizing nonstandard methods for upper Banach density problems
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On homogeneous linear recurrence relations and approximation of zeros of complex polynomials
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Formal power series arising from multiplication of quantum integers
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Formal languages and number theory
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Lattices, cryptography, and the NTRU public key cryptosystem
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Zeta functions of graph coverings
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Comparison of Selberg’s trace formula with its discrete analogues
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Unusual applications of quadratic Gaussian sums
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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.
Graduate students and research mathematicians interested in number theory and applications.
-
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
