Analytic Number Theory: An Introductory Course

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A01=Harold G Diamond
A01=Paul Trevier Bateman
Analysis
Author_Harold G Diamond
Author_Paul Trevier Bateman
Category=PBH
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Number Theory

Product details

  • ISBN 9789812560803
  • Publication Date: 09 Sep 2004
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Paperback
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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.Comments and corrigenda for the book are found at www.math.uiuc.edu/~diamond/.

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