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Journal of Mathematical Sciences

, Volume 233, Issue 5, pp 626–634 | Cite as

On p-Adic Approximation of Sums of Binomial Coefficients

  • R. R. Aidagulov
  • M. A. Alekseyev
Article
  • 15 Downloads

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 \( \left(\underset{p}{ip}\right)\left(i=1,2,\dots \right) \)

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • R. R. Aidagulov
    • 1
  • M. A. Alekseyev
    • 2
  1. 1.Moscow State UniversityMoscowRussia
  2. 2.George Washington UniversityAshburnUSA

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