Skip to main content
SpringerLink
Log in
Book cover

Introduction to Analytic Number Theory

  • Book

Overview

Authors:
  1. Tom M. Apostol

    1. Department of Mathematics, California Institute of Technology, Pasadena, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Undergraduate Texts in Mathematics (UTM)

  • 30k Accesses

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

Access this book

Log in via an institution

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (15 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Historical Introduction

    • Tom M. Apostol
    Pages 1-12

  3. The Fundamental Theorem of Arithmetic

    • Tom M. Apostol
    Pages 13-23

  4. Arithmetical Functions and Dirichlet Multiplication

    • Tom M. Apostol
    Pages 24-51

  5. Averages of Arithmetical Functions

    • Tom M. Apostol
    Pages 52-73

  6. Some Elementary Theorems on the Distribution of Prime Numbers

    • Tom M. Apostol
    Pages 74-105

  7. Congruences

    • Tom M. Apostol
    Pages 106-128

  8. Finite Abelian Groups and Their Characters

    • Tom M. Apostol
    Pages 129-145

  9. Dirichlet’s Theorem on Primes in Arithmetical Progressions

    • Tom M. Apostol
    Pages 146-156

  10. Periodic Arithmetical Functions and Gauss Sums

    • Tom M. Apostol
    Pages 157-177

  11. Quadratic Residues and the Quadratic Reciprocity Law

    • Tom M. Apostol
    Pages 178-203

  12. Primitive Roots

    • Tom M. Apostol
    Pages 204-223

  13. Dirichlet Series and Euler Products

    • Tom M. Apostol
    Pages 224-248

  14. The Functions ζ(s) and L(s, χ)

    • Tom M. Apostol
    Pages 249-277

  15. Analytic Proof of the Prime Number Theorem

    • Tom M. Apostol
    Pages 278-303

  16. Partitions

    • Tom M. Apostol
    Pages 304-328

  17. Back Matter

    Pages 329-340
    Download chapter PDF
Back to top

Keywords

Authors and Affiliations

  • Department of Mathematics, California Institute of Technology, Pasadena, USA

    Tom M. Apostol

Bibliographic Information

  • Book Title: Introduction to Analytic Number Theory

  • Authors: Tom M. Apostol

  • Series Title: Undergraduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-3-662-28579-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1976

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 2

  • Number of Pages: XII, 340

  • Number of Illustrations: 5 b/w illustrations

  • Topics: Algebra

Publish with us

Policies and ethics

Back to top

Search

Navigation