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Bernoulli Numbers and Zeta Functions

Tsuneo Arakawa, Tomoyoshi Ibukiyama, and Masanobu Kaneko
Publisher: 
Springer
Publication Date: 
2014
Number of Pages: 
274
Format: 
Hardcover
Series: 
Springer Monographs in Mathematics
Price: 
109.00
ISBN: 
9784431549185
Category: 
Monograph
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​1. Bernoulli Numbers 2. Stirling Numbers and Bernoulli Numbers3. Theorem of Clausen and von Staudt, and Kummer’s Congruence4. Generalized Bernoulli Numbers5. Summation Formula of Euler–Maclaurin and Riemann Zeta Function 6. Quadratic Forms and Ideal Theory of Quadratic Fields 7. Congruence Between Bernoulli Numbers and Class Numbers of Imaginary Quadratic Fields 8. Character Sums and Bernoulli Numbers 9. Special Values and Complex Integral Representation of L-functions 10. Class Number Formula and an Easy Zeta Function of a Prehomogeneous Vector Space11. p-adic Measure and Kummer’s Congruence12. Hurwitz Numbers 13. The Barnes Multiple Zeta Function14. Poly-Bernoulli NumbersReferencesIndex

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