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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

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Generalized Euler constants for arithmetical progressions
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by Karl Dilcher PDF
Math. Comp. 59 (1992), 259-282 Request permission


The work of Lehmer and Briggs on Euler constants in arithmetical progressions is extended to the generalized Euler constants that arise in the Laurent expansion of $\zeta (s)$ about $s = 1$. The results are applied to the summation of several classes of slowly converging series. A table of the constants is provided.
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Math. Comp. 59 (1992), 259-282
  • MSC: Primary 11Y60; Secondary 11M20, 65B10, 65B15
  • DOI:
  • MathSciNet review: 1134726