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  • Book

Introduction to Analytic Number Theory

Authors:

  1. Tom M. Apostol

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

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

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xii
    PDF

  2. Historical Introduction

    • Tom M. Apostol
    Pages 1-12

  3. The Fundamental Theorem of Arithmetic

    • Tom M. Apostol
    Pages 13-23

  5. Averages of Arithmetical Functions

    • Tom M. Apostol
    Pages 52-73

  7. Congruences

    • Tom M. Apostol
    Pages 106-128

  8. Finite Abelian Groups and Their Characters

    • Tom M. Apostol
    Pages 129-145

  10. Periodic Arithmetical Functions and Gauss Sums

    • Tom M. Apostol
    Pages 157-177

  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
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Keywords

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Authors and Affiliations

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

    Tom M. Apostol

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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

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