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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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The Stieltjes function—definition and properties
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by Jan Bohman and Carl-Erik Fröberg PDF
Math. Comp. 51 (1988), 281-289 Request permission


Close to the singular point $s = 1$ the zeta function can be represented as a Laurent series in $(s - 1)$. The coefficients in this series are called the Stieltjes constants, and the first ones were computed already 100 years ago. In order to investigate their somewhat unexpected behavior we have defined a related function which we call the Stieltjes function, and examined its properties.
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Math. Comp. 51 (1988), 281-289
  • MSC: Primary 11M06; Secondary 11Y35, 33A10, 65B10
  • DOI:
  • MathSciNet review: 942155