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Introduction to Number Theory

  • Textbook
  • © 1982

Overview

Authors:
  1. Hua Loo Keng

    1. Institute of Mathematics, Academica Sinica, Beijing, The People’s Republic of China

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Table of contents (20 chapters)

  1. Front Matter

    Pages I-XVIII
    Download chapter PDF

  2. The Factorization of Integers

    • Hua Loo Keng
    Pages 1-21

  3. Congruences

    • Hua Loo Keng
    Pages 22-34

  4. Quadratic Residues

    • Hua Loo Keng
    Pages 35-56

  5. Properties of Polynomials

    • Hua Loo Keng
    Pages 57-69

  6. The Distribution of Prime Numbers

    • Hua Loo Keng
    Pages 70-101

  7. Arithmetic Functions

    • Hua Loo Keng
    Pages 102-148

  8. Trigonometric Sums and Characters

    • Hua Loo Keng
    Pages 149-185

  9. On Several Arithmetic Problems Associated with the Elliptic Modular Function

    • Hua Loo Keng
    Pages 186-216

  10. The Prime Number Theorem

    • Hua Loo Keng
    Pages 217-249

  11. Continued Fractions and Approximation Methods

    • Hua Loo Keng
    Pages 250-275

  12. Indeterminate Equations

    • Hua Loo Keng
    Pages 276-299

  13. Binary Quadratic Forms

    • Hua Loo Keng
    Pages 300-337

  14. Unimodular Transformations

    • Hua Loo Keng
    Pages 338-364

  15. Integer Matrices and Their Applications

    • Hua Loo Keng
    Pages 365-404

  16. p-adic Numbers

    • Hua Loo Keng
    Pages 405-422

  17. Introduction to Algebraic Number Theory

    • Hua Loo Keng
    Pages 423-473

  18. Algebraic Numbers and Transcendental Numbers

    • Hua Loo Keng
    Pages 474-493

  19. Waring’s Problem and the Problem of Prouhet and Tarry

    • Hua Loo Keng
    Pages 494-513

  20. Schnirelmann Density

    • Hua Loo Keng
    Pages 514-534
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Keywords

Authors and Affiliations

  • Institute of Mathematics, Academica Sinica, Beijing, The People’s Republic of China

    Hua Loo Keng

Bibliographic Information

  • Book Title: Introduction to Number Theory

  • Authors: Hua Loo Keng

  • DOI: https://doi.org/10.1007/978-3-642-68130-1

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1982

  • Softcover ISBN: 978-3-642-68132-5Published: 21 November 2011

  • eBook ISBN: 978-3-642-68130-1Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XVIII, 574

  • Topics: Number Theory

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