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Fundamentalnaya i Prikladnaya Matematika, 2016, Volume 21, Issue 1, Pages 37–48 (Mi fpm1699)  
This article is cited in 1 scientific paper (total in 1 paper)

On $p$-adic approximation of sums of binomial coefficients

R. R. Aidagulova, M. A. Alekseyevb

a Lomonosov Moscow State University
b George Washington University
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Abstract: We propose higher-order generalizations of Jacobsthal's $p$-adic approximation for binomial coefficients. Our results imply explicit formulas for linear combinations of binomial coefficients $\binom{ip}{p}$ ($i=1,2,\ldots$) that are divisible by arbitrarily large powers of prime $p$.
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 233, Issue 5, Pages 626–634
DOI: https://doi.org/10.1007/s10958-018-3948-0
Bibliographic databases:
Document Type: Article
UDC: 511.172
Language: Russian
Citation: R. R. Aidagulov, M. A. Alekseyev, “On $p$-adic approximation of sums of binomial coefficients”, Fundam. Prikl. Mat., 21:1 (2016), 37–48; J. Math. Sci., 233:5 (2018), 626–634
Citation in format AMSBIB
\Bibitem{AidAle16}
\by R.~R.~Aidagulov, M.~A.~Alekseyev
\paper On $p$-adic approximation of sums of binomial coefficients
\jour Fundam. Prikl. Mat.
\yr 2016
\vol 21
\issue 1
\pages 37--48
\mathnet{http://mi.mathnet.ru/fpm1699}
\transl
\jour J. Math. Sci.
\yr 2018
\vol 233
\issue 5
\pages 626--634
\crossref{https://doi.org/10.1007/s10958-018-3948-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85050975823}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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