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Hardcover ISBN:  9780821827031 
Product Code:  DIMACS/64 
List Price:  $116.00 
MAA Member Price:  $104.40 
AMS Member Price:  $92.80 
eBook ISBN:  9781470440220 
Product Code:  DIMACS/64.E 
List Price:  $109.00 
MAA Member Price:  $98.10 
AMS Member Price:  $87.20 
Hardcover ISBN:  9780821827031 
eBook ISBN:  9781470440220 
Product Code:  DIMACS/64.B 
List Price:  $225.00 $170.50 
MAA Member Price:  $202.50 $153.45 
AMS Member Price:  $180.00 $136.40 

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, wellknown 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.
Copublished with the Center for Discrete Mathematics and Theoretical Computer Science beginning with Volume 8. Volumes 1–7 were copublished with the Association for Computer Machinery (ACM).
ReadershipGraduate students and research mathematicians interested in number theory and applications.

Table of Contents

Chapters

A four parameter generalization of Göllnitz’s (big) partition theorem

The FriedmanJoichiStanton monotonicity conjecture at primes

A group theoretic approach to publickey cryptography

Dedekind sums: A combinatorialgeometric 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


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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, wellknown 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.
Copublished with the Center for Discrete Mathematics and Theoretical Computer Science beginning with Volume 8. Volumes 1–7 were copublished 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 FriedmanJoichiStanton monotonicity conjecture at primes

A group theoretic approach to publickey cryptography

Dedekind sums: A combinatorialgeometric 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