Number Theory and Its Applications

ISBN-13: 9780824719692 / Angielski / Miękka / 1998 / 364 str.

S. A. Stepanov; Stepanov Stepanov; Serguei A. Stepanov

Opis

"Addresses contemporary developments in number theory and coding theory, originally presented as lectures at summer school held at Bilkent University, Ankara, Turkey. Includes many results in book form for the first time."

Spis treści

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 nonexistence of generalized bent functions; algebraic independence of pi and e pi; 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; simultaneous approximations and algebraic independence; a survey of results on primes in short intervals.

O autorze

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.