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© 1998

Analytic Number Theory

Textbook
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Part of the Graduate Texts in Mathematics book series (GTM, volume 177)

Table of contents

About this book

Introduction

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 Erdös-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.

Keywords

analytic number theory number theory prime number

Authors and affiliations

  1. 1.Temple UniversityPhiladelphiaUSA

Bibliographic information

  • Book Title Analytic Number Theory
  • Authors Donald J. Newman
  • Series Title Graduate Texts in Mathematics
  • DOI https://doi.org/10.1007/b98872
  • Copyright Information Springer-Verlag New York, Inc. 1998
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-98308-0
  • Softcover ISBN 978-1-4757-7165-7
  • eBook ISBN 978-0-387-22740-5
  • Series ISSN 0072-5285
  • Edition Number 1
  • Number of Pages VIII, 80
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Number Theory
  • Buy this book on publisher's site
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Reviews

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)