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Analytic Number Theory

An Introductory Course

Analytic Number Theory by Paul T Bateman
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This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable ("elementary") and complex variable ("analytic") methods are employed. The reader is assumed to have knowledge of elementary number theory (abstract algebra will also do) and real and complex analysis. Specialized analytic techniques, including transform and Tauberian methods, are developed as needed.
World Scientific Publishing Company; September 2004
375 pages; ISBN 9789814365567
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Title: Analytic Number Theory
Author: Paul T Bateman; Harold G Diamond