Proof of some congruence conjectures of Z.-H. Sun involving Apery-like numbers

被引：0

作者：

Mao, Guo-Shuai ^{[1
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Dept Math, Nanjing 210044, Peoples R China

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2023年 / 29卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Congruences; Franel numbers; Bernoulli numbers; Euler numbers; Fermat quotient; BERNOULLI NUMBERS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we mainly prove the following conjecture of Sun[Congruences involving binomial coefficients and Apery-like numbers, Publ. Math. Debrecen 96 (2020), pp. 315-346]: Let p>3 be a prime. Then Sigma(p-1)(k=0)((2)(k))3k+1/(-16)kf(k) equivalent to (-1)((p-1)/2)p+p(3)E(p-3)(mod p(4)), where f(n) = Sigma(n)(k=0)((n)(k))(3) and E-n stand for the nth Franel number and nth Euler number, respectively.

引用

页码：592 / 602

页数：11

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