Congruences involving alternating sums related to harmonic numbers and binomial coefficients

被引：0

作者：

Elkhiri, Laid ^{[1
]}

Mihoubi, Miloud ^{[2
]}

Derbal, Abdellah ^{[3
]}

机构：

[1] Ibn Khaldoun Univ, EDPNLHM Lab ENS, Old Kouba, Tiaret, Algeria

[2] USTHB, RECITS Lab, Fac Math, POB 32 16111 El Alia, Algiers, Algeria

[3] ENS, Dept Math, EDPNLHM Lab, Algiers, Algeria

来源：

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2020年 / 26卷 / 04期

关键词：

Binomial coefficients; Harmonic numbers; Generalized harmonic numbers; Congruences; BERNOULLI NUMBERS;

D O I：

10.7546/nntdm.2020.26.4.39-51

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 2017, Bing He investigated arithmetic properties to obtain various basic congruences modulo a prime for several alternating sums involving harmonic numbers and binomial coefficients. In this paper we study how we can obtain more congruences modulo a power of a prime number p (super congruences) in the ring of p-integer Zp involving binomial coefficients and generalized harmonic numbers.

引用

页码：39 / 51

页数：13

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