arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0807.2626math.NT

Instant Evaluation and Demystification of zeta(n),L(n,chi) that Euler,Ramanujan Missed - II

Vivek V. Rane

英文摘要:

For Hurwitz zeta function, we obtain power series expression in second variable for its higher order derivatives (with respect to first variable) at non-positive integer arguments and consequently obtain rapidly decreasing series expression for Riemann zeta fuction at positive odd integer arguments. Further, we obtain corresponding results for Dirichlet L-series. We also a unified proof of various classical identities involving Riemann zeta values.

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