NEW CONGRUENCES WITH THE GENERALIZED CATALAN NUMBERS AND HARMONIC NUMBERS

被引：2
|
作者：
Elkhiri, Laid [1 ]
Koparal, Sibel [2 ]
Omur, Nese [2 ]
机构：
[1] Tiaret Univ, Dept Math, Recits Lab, USTHB BAB EZZOUAR, Algiers, Algeria
[2] Kocaeli Univ, Dept Math, TR-41380 Kocaeli, Turkey
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2021年 / 58卷 / 05期
关键词：
Congruences; harmonic numbers and binomial coefficients; BERNOULLI NUMBERS; IDENTITIES;
D O I：
10.4134/BKMS.b200359
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give new congruences with the generalized Catalan numbers and harmonic numbers modulo p(2). One of our results is as follows: for prime number p > 3, Sigma(p-1)(k=(p+1)/2) k(2)B(p,k)B(p,k-(p-1)/2)H(k)equivalent to(-1)((p-1)/2)(-521/36p-1/p-41/12+pH(3(p-1)/2)(2)-10pq(p)(2)(2)+4(10/3p+1)q(p)(2)) (mod p(2)), where q(p) (2) is Fermat quotient.
引用
收藏
页码：1079 / 1095
页数：17
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