Analytic Number Theory: An Introductory Course: 1 (Monographs In Number Theory) - Softcover
Book 1 of 10: Monographs in Number Theory
Synopsis
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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Review
.,." suitable for beginning graduate students, or possibly even advanced undergraduates.?
Synopsis
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.
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Analytic Number Theory: An Introductory Course
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ANALYTIC NUMBER THEORY AN INTRODUCTORY COURSE MONOGRAPHS IN NUMBER THEORY VOL 1 (PB 2004)
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