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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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


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:
  • Received by editor(s): May 5, 1999
  • Published electronically: March 1, 2000
  • © Copyright 2000 American Mathematical Society
  • Journal: Math. Comp. 70 (2001), 789-799
  • MSC (2000): Primary 65B10
  • DOI:
  • MathSciNet review: 1697650