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Number Theory and Its Applications




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ISBN 9780824719692
Published November 23, 1998 by CRC Press
360 Pages

 
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Book Description

"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."

Table of Contents

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.

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