Bernoulli Numbers and Zeta Functions

Authors:

ISBN: 978-4-431-54918-5 (Print) 978-4-431-54919-2 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages i-xi

  2. No Access

    Chapter

    Pages 1-24

    Bernoulli Numbers

  3. No Access

    Chapter

    Pages 25-39

    Stirling Numbers and Bernoulli Numbers

  4. No Access

    Chapter

    Pages 41-49

    Theorem of Clausen and von Staudt, and Kummer’s Congruence

  5. No Access

    Chapter

    Pages 51-63

    Generalized Bernoulli Numbers

  6. No Access

    Chapter

    Pages 65-74

    The Euler–Maclaurin Summation Formula and the Riemann Zeta Function

  7. No Access

    Chapter

    Pages 75-93

    Quadratic Forms and Ideal Theory of Quadratic Fields

  8. No Access

    Chapter

    Pages 95-102

    Congruence Between Bernoulli Numbers and Class Numbers of Imaginary Quadratic Fields

  9. No Access

    Chapter

    Pages 103-137

    Character Sums and Bernoulli Numbers

  10. No Access

    Chapter

    Pages 139-153

    Special Values and Complex Integral Representation of L-Functions

  11. No Access

    Chapter

    Pages 155-182

    Class Number Formula and an Easy Zeta Function of the Space of Quadratic Forms

  12. No Access

    Chapter

    Pages 183-201

    p-adic Measure and Kummer’s Congruence

  13. No Access

    Chapter

    Pages 203-208

    Hurwitz Numbers

  14. No Access

    Chapter

    Pages 209-222

    The Barnes Multiple Zeta Function

  15. No Access

    Chapter

    Pages 223-238

    Poly-Bernoulli Numbers

  16. Back Matter

    Pages 239-274