Skip to main content
SpringerLink
Log in
Book cover

Analytic Number Theory

  • Textbook
  • © 1998

Overview

Authors:
  1. Donald J. Newman

    1. Temple University, Philadelphia, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Number Theory is a vast and fascinating field of mathematics consisting of, among other things, the study of the properties of numbers (including Primes)
  • Attractively written volume which contains clever examples and interesting problems in each chapter
  • Covers an amazing amount of material with a leisurely pace which emphasizes readability
  • De-mystifying approach offers solutions that are both understandable and elegant
  • Newman's heartfelt enthusiasm enables readers to see what is magical about the subject; his genuine appreciation for the beauty of analytic number theory is clearly reflected in the mathematics which are presented

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 69.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (7 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. The Idea of Analytic Number Theory

    Pages 1-15

  3. The Partition Function

    Pages 17-30

  4. The Erdős-Fuchs Theorem

    Pages 31-39

  5. Sequences without Arithmetic Progressions

    Pages 41-48

  6. The Waring Problem

    Pages 49-57

  7. A “Natural” Proof of the Nonvanishing of L-Series

    Pages 59-65

  8. Simple Analytic Proof of the Prime Number Theorem

    Pages 67-75

  9. Back Matter

    Pages 77-78
    Download chapter PDF
Back to top

Keywords

About this book

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.

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)

Authors and Affiliations

  • Temple University, Philadelphia, USA

    Donald J. Newman

Bibliographic Information

  • Book Title: Analytic Number Theory

  • Authors: Donald J. Newman

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/b98872

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1998

  • Hardcover ISBN: 978-0-387-98308-0Published: 19 December 1997

  • Softcover ISBN: 978-1-4757-7165-7Published: 17 March 2013

  • eBook ISBN: 978-0-387-22740-5Published: 18 April 2006

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: VIII, 80

  • Topics: Number Theory

Publish with us

Policies and ethics

Back to top

Search

Navigation