Number Theory and Its Applications

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.

• 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.