Evaluation of some simple Euler-type series

Details Evaluation of some simple Euler-type series Evaluation of some simple Euler-type series

2009-12-16

arxiv.org/abs/0912.3227v1

Far East Journal of Mathematical Sciences (FJMS), 29, Issue 1, (2008),1-11

Mathematics

Number Theory

Scientific paper

Five series are evaluated in terms of zeta values. Three of the series
involve harmonic numbers and one involves Stirling numbers of the first kind.
The evaluation of these series is reduced to the evaluation of certain
integrals, including the moments of the polylogarithm.

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