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. With nearly 1500 references, equations, drawings, and tables, Number Theory and Its Applications especially benefits number theorists, coding theorists, algebraists, algebraic geometers, applied mathematicians, information theorists, and upper-level undergraduate and graduate students in these fields.
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
Cem Y. Yildirim 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. Yildirim 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 Moscow State University, USSR, and the Ph.D. (1970) and D.Sc. (1977) degrees from the Steklov Mathematical Institute, Moscow, USSR.