NEW SUPERCONGRUENCES INVOLVING PRODUCTS OF TWO BINOMIAL COEFFICIENTS

被引：0

作者：

Sun, Zhi-Hong ^{[1
]}

机构：

[1] Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2020年 / 101卷 / 03期

基金：

中国国家自然科学基金;

关键词：

congruence; Bernoulli polynomial; Euler polynomial; BERNOULLI NUMBERS; CONGRUENCES;

D O I：

10.1017/S0004972719000911

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p > 3 be a prime and let a be a rational p-adic integer with a not equivalent to 0 (mod p). We evaluate Sigma((p-1)/2)(k=1) 1/k((a)(k)) ((-1 - a)(k)) and Sigma((p-1)/2)(k=0) 1/2k - 1 ((a)(k)) ((-1 - a)(k)) modulo p(2) in terms of Bernoulli and Euler polynomials.

引用

页码：367 / 378

页数：12

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