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Arithmetic properties of certain polyadic series

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Abstract

Arithmetic properties of series of the form \(\sum\nolimits_{n = 0}^\infty {p(n)} \cdot n!\), p(n) ∈ ℤ[x] are studied.

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References

  1. A. G. Postnikov, Introduction to Analytic Number Theory (Nauka, Moscow, 1971) [in Russian].

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  2. V. G. Chirskii, “On Global Relations,” Matem. Zametki 48(2), 123 (1990).

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  3. D. Bertrand, V. Chirskii, and Y. Yebbou, “Effective Estimates for Global Relations on Euler-Type Series,” Ann. Fac. Sci. Toulouse XIII(2), 241 (2004).

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    V. G. Chirskii

Authors
  1. V. G. Chirskii
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Additional information

Original Russian Text © V.G. Chirskii, 2012, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2012, Vol. 67, No. 5, pp. 52–54.

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Chirskii, V.G. Arithmetic properties of certain polyadic series. Moscow Univ. Math. Bull. 67, 228–229 (2012). https://doi.org/10.3103/S0027132212050099

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  • DOI: https://doi.org/10.3103/S0027132212050099

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