Number Theory and Its Applications

✍ Scribed by Cem Y. Yildrim (Editor); Serguei A. Stepanov (Editor)

• Publisher: CRC Press
• Year: 1998
• Leaves: 364
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ 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