Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 1, Pages 59–61 (Mi vmumm210)  
This article is cited in 23 scientific papers (total in 23 papers)

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Arithmetic properties of Euler series

V. G. Chirskii

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (310 kB) Citations (23)
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Abstract: The paper presents a lower bound valid for infinitely many primes $p$ of the $p$-adic valuation of the number $E_p = \sum_{n=1}^\infty n!\in\mathbb{Q}_p$ which is an Euler-type series.
Key words: Euler-type series, $p$-adic valuation.
Received: 20.12.2013
English version:
Moscow University Mathematics Bulletin, 2015, Volume 70, Issue 1, Pages 41–43
DOI: https://doi.org/10.3103/S0027132215010088
Bibliographic databases:
Document Type: Article
UDC: 511.36
Language: Russian
Citation: V. G. Chirskii, “Arithmetic properties of Euler series”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 1, 59–61; Moscow University Mathematics Bulletin, 70:1 (2015), 41–43
Citation in format AMSBIB
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    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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