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Bernoulli Numbers and Zeta Functions

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Cover of 'Bernoulli Numbers and Zeta Functions'

Table of Contents

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    Book Overview
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    Chapter 1 Bernoulli Numbers
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    Chapter 2 Stirling Numbers and Bernoulli Numbers
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    Chapter 3 Theorem of Clausen and von Staudt, and Kummer’s Congruence
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    Chapter 4 Generalized Bernoulli Numbers
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    Chapter 5 The Euler–Maclaurin Summation Formula and the Riemann Zeta Function
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    Chapter 6 Quadratic Forms and Ideal Theory of Quadratic Fields
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    Chapter 7 Congruence Between Bernoulli Numbers and Class Numbers of Imaginary Quadratic Fields
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    Chapter 8 Character Sums and Bernoulli Numbers
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    Chapter 9 Special Values and Complex Integral Representation of L -Functions
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    Chapter 10 Class Number Formula and an Easy Zeta Function of the Space of Quadratic Forms
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    Chapter 11 p -adic Measure and Kummer’s Congruence
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    Chapter 12 Hurwitz Numbers
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    Chapter 13 The Barnes Multiple Zeta Function
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    Chapter 14 Poly-Bernoulli Numbers
Attention for Chapter 11: p -adic Measure and Kummer’s Congruence
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Chapter title
p -adic Measure and Kummer’s Congruence
Chapter number 11
Book title
Bernoulli Numbers and Zeta Functions
Published by
Springer, Tokyo, January 2014
DOI 10.1007/978-4-431-54919-2_11
Book ISBNs
978-4-43-154918-5, 978-4-43-154919-2
Authors

Tomoyoshi Ibukiyama, Masanobu Kaneko

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