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NOTES ON SOME IDENTITIES INVOLVING THE RIEMANN ZETA FUNCTION
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 Title & Authors
NOTES ON SOME IDENTITIES INVOLVING THE RIEMANN ZETA FUNCTION
Lee, Hye-Rim; Ok, Bo-Myoung; Choi, June-Sang;
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 Abstract
We first review Ramaswami`s find Apostol`s identities involving the Zeta function in a rather detailed manner. We then present corrected, or generalized formulas, or a different method of proof for some of them. We also give closed-form evaluation of some series involving the Riemann Zeta function by an integral representation of ζ(s) and Apostol`s identities given here.
 Keywords
Bernoulli numbers and polynomials;Riemann and Hurwitz Zeta functions;Harmonic numbers;Pochhammer symbol;Mobius function;
 Language
English
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