[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2002.17.1.165

NOTES ON SOME IDENTITIES INVOLVING THE RIEMANN ZETA FUNCTION

Lee, Hye-Rim (Department of Mathematics, College of Natural Sciences, Pusan National University)
Ok, Bo-Myoung (School of Computer Information Engineering, Youngsan University)
Choi, June-Sang (Department of Mathematics, College of Natural Sciences, Dongguk University)

Publication Information

Communications of the Korean Mathematical Society / v.17, no.1, 2002 , pp. 165-173 More about this Journal

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;

Citations & Related Records

Reference

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