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.
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页码：24331 / 24344
页数：14
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