Congruences involving generalized Catalan numbers and Bernoulli numbers

被引：0

作者：

Yang, Jizhen ^{[1
]}

Wang, Yunpeng ^{[2
]}

机构：

[1] Luoyang Normal Coll, Dept Math, Luoyang 471934, Peoples R China

[2] Luoyang Inst Sci & Technol, Dept Math & Phys, Luoyang 471023, Peoples R China

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 10期

关键词：

Bernoulli numbers; congruences; generalized Catalan numbers; generalized harmonic numbers; ARITHMETIC THEORY; SUMS;

D O I：

10.3934/math.20231240

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish some congruences mod p3 involving the sums & sigma;p-1k=1 kmB2lp,k, where p > 3 is a prime number and Bp,k are generalized Catalan numbers. We also establish some congruences mod p2 involving the sums & sigma;p-1k=1 kmB2l1 p,kB2l2 p,k-d, where m, l1,l2, d are positive integers and 1 & LE;d & LE;p -1.

引用

页码：24331 / 24344

页数：14

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