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A class of infinite sums and integrals


Author: R. Shail
Journal: Math. Comp. 70 (2001), 789-799
MSC (2000): Primary 65B10
DOI: https://doi.org/10.1090/S0025-5718-00-01211-4
Published electronically: March 1, 2000
MathSciNet review: 1697650
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Abstract | References | Similar Articles | Additional Information

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: https://doi.org/10.1090/S0025-5718-00-01211-4
Received by editor(s): May 5, 1999
Published electronically: March 1, 2000
Article copyright: © Copyright 2000 American Mathematical Society

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