Supercongruences for some lacunary sums of powers of binomial coefficients

被引：0

作者：

Lengyel, Tamas ^{[1
]}

机构：

[1] Occidental Coll, Dept Math, Los Angeles, CA 90041 USA

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2018年 / 14卷 / 08期

关键词：

Binomial coefficients; congruences; divisibility; harmonic numbers; Bernoulli numbers; P-ADIC CONVERGENCE; RECURRENCES;

D O I：

10.1142/S1793042118501294

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let a, n, m is an element of Z(+) with (a, p) = 1 and p be an odd prime. We find a supercongruence for Sigma p vertical bar k ((apn)(k))(m) and related sums of powers of binomial coefficients. These results complement prior results for Sigma(k=i (mod p)) ((apn)(k))(m) with i = 1, 2, . . . , p - 1 obtained recently by the author.

引用

页码：2155 / 2164

页数：10

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