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Teoriya Veroyatnostei i ee Primeneniya, 2009, Volume 54, Issue 1, Pages 149–153
DOI: https://doi.org/10.4213/tvp2550 (Mi tvp2550) 		 
This article is cited in 3 scientific papers (total in 3 papers)

A New Proof of the Absolute Convergence of the Spitzer Series

S. V. Nagaev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (99 kB) Citations (3)
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DOI: https://doi.org/10.4213/tvp2550
Abstract: A new proof of the absolute convergence of the Spitzer series is given which is based on the Berry–Esseen bound. Moreover, the upper bound is deduced for the sum of the series generated by the absolute values of the terms of the Spitzer series.
Keywords: Spitzer series, Berry–Esseen bound, normal law, absolute constant, Euler constant.
Received: 19.09.2008
English version:
Theory of Probability and its Applications, 2010, Volume 54, Issue 1, Pages 151–154
DOI: https://doi.org/10.1137/S0040585X97984024
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Nagaev, “A New Proof of the Absolute Convergence of the Spitzer Series”, Teor. Veroyatnost. i Primenen., 54:1 (2009), 149–153; Theory Probab. Appl., 54:1 (2010), 151–154
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tvp/v54/i1/p149
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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