Geodesic
A New Proof of the Absolute Convergence of the Spitzer Series
Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 1, pp. 149-153

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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
Mots-clés : absolute constant, Euler constant. 
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     author = {S. V. Nagaev},
     title = {A {New} {Proof} of the {Absolute} {Convergence} of the {Spitzer} {Series}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {149--153},
     publisher = {mathdoc},
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     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2009_54_1_a7/}
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S. V. Nagaev. A New Proof of the Absolute Convergence of the Spitzer Series. Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 1, pp. 149-153. http://geodesic.mathdoc.fr/item/TVP_2009_54_1_a7/