Book 2011

Problem-Solving and Selected Topics in Number Theory

In the Spirit of the Mathematical Olympiads

Authors:

ISBN: 978-1-4419-0494-2 (Print) 978-1-4419-0495-9 (Online)

Table of contents (12 chapters)

  1. Front Matter

    Pages i-xv

  2. No Access

    Chapter

    Pages 1-14

    Introduction

  3. No Access

    Chapter

    Pages 15-28

    Arithmetic functions

  4. No Access

    Chapter

    Pages 29-35

    Perfect numbers, Fermat numbers

  5. No Access

    Chapter

    Pages 37-49

    Congruences

  6. No Access

    Chapter

    Pages 51-78

    Quadratic residues

  7. No Access

    Chapter

    Pages 79-82

    The π- and li-functions

  8. No Access

    Chapter

    Pages 83-98

    The Riemann zeta function

  9. No Access

    Chapter

    Pages 99-101

    Dirichlet series

  10. No Access

    Chapter

    Pages 103-145

    Special topics

  11. No Access

    Chapter

    Pages 147-162

    Problems

  12. No Access

    Chapter

    Pages 163-290

    Solutions

  13. No Access

    Chapter

    Pages 291-316

    Appendix

  14. Back Matter

    Pages 317-324