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Congruences concerning quadrinomial coefficients

2023/07/27 by Mechacha, Mohammed
#05A10 #11A07 #11B65 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2307.16768

Abstract

In this paper, we establish congruences (mod p2) involving the quadrinomial coefficients \dbinomnp-1p-13 and \dbinomnp-1(p-1)/(2)3. This is an analogue of congruences involving the trinomial coefficients \dbinomnp-1p-12 and \dbinomnp-1(p-1)/(2)2 due to Elkhiri and Mihoubi.

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