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| Hardcover ISBN: | 978-0-8218-2703-1 |
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| Hardcover ISBN: | 978-0-8218-2703-1 |
| Product Code: | DIMACS/64 |
| List Price: | $116.00 |
| MAA Member Price: | $104.40 |
| AMS Member Price: | $92.80 |
| eBook ISBN: | 978-1-4704-4022-0 |
| Product Code: | DIMACS/64.E |
| List Price: | $109.00 |
| MAA Member Price: | $98.10 |
| AMS Member Price: | $87.20 |
| Hardcover ISBN: | 978-0-8218-2703-1 |
| eBook ISBN: | 978-1-4704-4022-0 |
| Product Code: | DIMACS/64.B |
| List Price: | $225.00 $170.50 |
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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.
Co-published with the Center for Discrete Mathematics and Theoretical Computer Science beginning with Volume 8. Volumes 1–7 were co-published with the Association for Computer Machinery (ACM).
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
-
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
-
-
RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
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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.
Co-published with the Center for Discrete Mathematics and Theoretical Computer Science beginning with Volume 8. Volumes 1–7 were co-published with the Association for Computer Machinery (ACM).
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
