Number Theory and Its Applications

by Cem Y. Yildirim (Editor), Serguei A. Stepanov (Editor)

Overview

This valuable reference addresses the methods leading to contemporary developments in number theory and coding theory, originally presented as lectures at a summer school held at Bilkent University, Ankara, Turkey.

Product Details

ISBN-13:	9781000673135
Publisher:	CRC Press
Publication date:	03/06/2020
Series:	Lecture Notes in Pure and Applied Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	364
File size:	1 MB

About the Author

Cem Y. Yildrim is Assistant Professor in the Department of Mathematics, Bilkent University, Ankara, Turkey. The author of several research articles, he is a member of the American Mathematical Society and the Turkish Mathematical Association. Dr. Yildrim received the B.Sc. degree (1982) from Middle East Technical University, Ankara, Turkey, and the Ph.D. degree (1990) from the University of Toronto, Ontario, Canada. Serguei A. Stepanov is a Professor in the Department of Mathematics, Bilkent University, Ankara, Turkey. The author or coauthor of numerous research articles, he is a member of the Moscow Mathematical Society and the American Mathematical Society, and a recipient of the USSR State Prize. Dr. Stepanov received the M.S. degree (1965) from the Moscow State University, USSR, and the Ph.D. (1970) and D.Sc. (1977) degrees from the Steklov Mathematical Institute, Moscow, USSR.

Table of Contents

Preface, Contributors, Lectures, Seminar Talks, Participants, Arithmetic Progressions of Polynomials over a Finite Field, Some Function Field Estimates with Applications, Topics in Analytic Number Theory, The Sieve Method, A Remark on the Non-existence of Generalized Bent Functions, Algebraic Independence of Π and eΠ, Modular Forms and Hecke Operators, The Mahler Measure of Polynomials, Heights of Algebraic Points, Fibre Products, Character Sums, and Geometric Goppa Codes, Vinogradov’s Method and Some Applications, From Simultaneous Approximations to Algebraic Independence, A Survey of Results on Primes in Short Intervals

Editorial Reviews

Originally presented as lectures at Bilkent U., Ankara, Turkey, 13 papers address the methods leading to contemporary developments in number and coding theory. Among the papers are surveys on modular forms and Hecke operators, exponential sums, and sieve methods with applications to additive and multiplicative number theory. The volume also contains results on character sums and finite fields with applications to coding theory; covers classical and new material on algebraic numbers, transcendence theory, and diophantine approximations; and dwells on the connections between the distribution of primes and the Riemann zeta-function. No index. Annotation c. by Book News, Inc., Portland, Or.

Booknews