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Teoriya Veroyatnostei i ee Primeneniya, 2021, Volume 66, Issue 1, Pages 110–128
DOI: https://doi.org/10.4213/tvp5319 (Mi tvp5319) 		 
An estimate for the sum of the Spitzer series and its generalization

S. V. Nagaev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.4213/tvp5319
Abstract: An upper estimate for the absolute value of the sum of the Spitzer series is obtained. This estimate depends explicitly on the distribution in terms of which the Spitzer series is defined.
Keywords: zeta function, expectation, normal law, Berry–Esseen estimate, Euler constant, Spitzer series.
Received: 18.05.2019
Revised: 07.09.2020
Accepted: 17.09.2020
English version:
Theory of Probability and its Applications, 2021, Volume 66, Issue 1, Pages 89–104
DOI: https://doi.org/10.1137/S0040585X97T990277
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Nagaev, “An estimate for the sum of the Spitzer series and its generalization”, Teor. Veroyatnost. i Primenen., 66:1 (2021), 110–128; Theory Probab. Appl., 66:1 (2021), 89–104
Citation in format AMSBIB
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\by S.~V.~Nagaev
\paper An estimate for the sum of the Spitzer series and its generalization
\jour Teor. Veroyatnost. i Primenen.
\yr 2021
\vol 66
\issue 1
\pages 110--128
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\crossref{https://doi.org/10.4213/tvp5319}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4213091}
\zmath{https://zbmath.org/?q=an:1469.60141}
\transl
\jour Theory Probab. Appl.
\yr 2021
\vol 66
\issue 1
\pages 89--104
\crossref{https://doi.org/10.1137/S0040585X97T990277}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85129600907}
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
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