Tsuneo Arakawa & Tomoyoshi Ibukiyama 
Bernoulli Numbers and Zeta Functions [PDF ebook] 

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Two major subjects are treated in this book. The main one is the theory of Bernoulli numbers and the other is the theory of zeta functions. Historically, Bernoulli numbers were introduced to give formulas for the sums of powers of consecutive integers. The real reason that they are indispensable for number theory, however, lies in the fact that special values of the Riemann zeta function can be written by using Bernoulli numbers. This leads to more advanced topics, a number of w...

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Table of Content

​1. Bernoulli Numbers 2. Stirling Numbers and Bernoulli Numbers3. Theorem of Clausen and von Staudt, and Kummer’s Congruence4. Generalized Bernoulli Numbers5. Summa...

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About the author

(late) Tsuneo Arakawa
Tomoyoshi Ibukiyama Professor Department of Mathematics Graduate School of Science Osaka University Machikaneyama 1-1 Toyonaka, Osaka, 560-0...

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Language English ● Format PDF ● Pages 274 ● ISBN 9784431549192 ● File size 3.0 MB ● Publisher Springer Tokyo ● City Tokyo ● Country JP ● Published 2014 ● Downloadable 24 months ● Currency EUR ● ID 3313089 ● Copy protection Social DRM

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