On p-Adic Approximation of Sums of Binomial Coefficients


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

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


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