NOTES ON SOME IDENTITIES INVOLVING THE RIEMANN ZETA FUNCTION

NOTES ON SOME IDENTITIES INVOLVING THE RIEMANN ZETA FUNCTION

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...

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Veröffentlicht in:Communications of the Korean Mathematical Society 2002, Vol.17 (1), p.165-173
Hauptverfasser: Lee, Hye-Rim, Ok, Bo-Myoung, Choi, June-Sang
Format: Artikel
Sprache:kor
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Zusammenfassung: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.
ISSN:1225-1763
2234-3024