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Unusual Applications of Number Theory

Edited by: Melvyn B. Nathanson Herbert H. Lehman College, CUNY, New York, NY
A co-publication of the AMS and DIMACS
Available Formats:
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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List Price: $165.00 MAA Member Price:$148.50
AMS Member Price: $132.00 Click above image for expanded view Unusual Applications of Number Theory Edited by: Melvyn B. Nathanson Herbert H. Lehman College, CUNY, New York, NY A co-publication of the AMS and DIMACS Available Formats:  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 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$165.00 MAA Member Price: $148.50 AMS Member Price:$132.00
• Book Details

DIMACS - Series in Discrete Mathematics and Theoretical Computer Science
Volume: 642004; 264 pp
MSC: 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.

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
• Requests

Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Volume: 642004; 264 pp
MSC: 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.

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
Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.