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A class of infinite sums and integrals

Author(s): R. Shail.
Journal: Math. Comp. 70 (2001), 789-799.
MSC (2000): Primary 65B10
Posted: March 1, 2000
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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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Additional Information:

R. Shail
Affiliation: Department of Mathematics and Statistics, University of Surrey, Guildford, Surrey GU2 5XH, UK
Email: r.shail@surrey.ac.uk

DOI: 10.1090/S0025-5718-00-01211-4
PII: S 0025-5718(00)01211-4
Received by editor(s): May 5, 1999
Posted: March 1, 2000
Copyright of article: Copyright 2000, American Mathematical Society

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