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Mathematics of Computation

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



The Stieltjes function—definition and properties

Authors: Jan Bohman and Carl-Erik Fröberg
Journal: Math. Comp. 51 (1988), 281-289
MSC: Primary 11M06; Secondary 11Y35, 33A10, 65B10
MathSciNet review: 942155
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Abstract: 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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Article copyright: © Copyright 1988 American Mathematical Society