On p-Adic Approximation of Sums of Binomial Coefficients
- Authors: Aidagulov R.R.1, Alekseyev M.A.2
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Affiliations:
- Moscow State University
- George Washington University
- Issue: Vol 233, No 5 (2018)
- Pages: 626-634
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241605
- DOI: https://doi.org/10.1007/s10958-018-3948-0
- ID: 241605
Cite item
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 \( \left(\underset{p}{ip}\right)\left(i=1,2,\dots \right) \)
About the authors
R. R. Aidagulov
Moscow State University
Email: Jade.Santos@springer.com
Russian Federation, Moscow
M. A. Alekseyev
George Washington University
Email: Jade.Santos@springer.com
United States, Ashburn, Virginia