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Analytic Number Theory : Graduate Texts in Mathematics - Donald J. Newman

Analytic Number Theory

Graduate Texts in Mathematics

Hardcover

Published: 19th July 2000
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Analytic Number Theory presents some of the central topics in number theory in a simple and concise fashion. It covers an amazing amount of material, despite the leisurely pace and emphasis on readability. The author's heartfelt enthusiasm enables readers to see what is magical about the subject. Topics included are: The Partition Function; The Erdos-Fuchs Theorem; Sequences without Arithmetic Professions; The Waring Problem; A "Natural" Proof of the Non-vanishing of L-Series, and a Simple Analytic Proof of the Prime Number Theorem - all presented in a surprisingly elegant and efficient manner with clever examples and interesting problems in each chapter. This text is suitable for a graduate course in analytic number theory.

From the reviews:

D. J. Newman

Analytic Number Theory

"This book is remarkable . . . The author's style remains pleasantly discursive throughout the book. Any of these chapters might be useful to a reader planning a lecture course in the relevant subject area . . . The student of analytic number theory would do well to find shelf-room for this book."-MATHEMATICAL

"Donald J. Newman was a noted problem-solver who believed that math should be fun and that beautiful theorems should have beautiful proofs. This short book collects brief, self-contained proofs of several well-known theorems in analytic number theory ... ." (Allen Stenger, The Mathematical Association of America, November, 2010)

Introduction and dedication
The idea of analytic number theory
The partition function
The Erdos-Fuchs theorem
Sequences without arithmetic progressions
The Waring problem
A "Natural" Proof of the Non-vanishing of L-Series
Simple Analytic Proof of the Prime Number Theorem
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387983080
ISBN-10: 0387983082
Series: Graduate Texts in Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 80
Published: 19th July 2000
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 0.64
Weight (kg): 0.31