Abstract
We obtain a series representation for ζ(s) valid in Res> – k(<0). This representation is obtained by a sequence of regrouping of the series 1–2−s + 3−s–4−s + …( = (1—21−s)ζ(s), Re s > 0). We can obtain asymptotic relations likeas an application of our series representation for ζ(s).
Publisher
Cambridge University Press (CUP)
Cited by
1 articles.
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1. Bibliography;Zeta and q-Zeta Functions and Associated Series and Integrals;2012