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Analytic Number Theory

  • Donald J. Newman

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

  • Donald J. Newman
    • 1
  1. 1.Temple UniversityPhiladelphiaUSA

Bibliographic information

  • 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
  • Print ISBN 978-0-387-98308-0
  • Online ISBN 978-0-387-22740-5
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site