A class of infinite sums and integrals

Shail, R.

doi:10.1090/S0025-5718-00-01211-4

A class of infinite sums and integrals
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Math. Comp. 70 (2001), 789-799 Request permission

Abstract:

In this paper closed-form sums are given for various slowly-convergent infinite series which arise essentially from the differentiation of Dirichlet $L$-series. Some associated integrations are also considered. A small number of the results appear in standard tables, but most seem to be new.

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