On some congruences of sums of powers and Wolstenholme's theorem for generalized harmonic numbers

被引：0
|
作者：
Bayat, Morteza [1 ]
机构：
[1] Islamic Azad Univ, Dept Math, Zanjan Branch, Zanjan, Iran
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2024年
关键词：
Wolstenholme's theorem; generalized harmonic numbers; Stirling numbers of the first kind; Newton-Girard's identity; BINOMIAL COEFFICIENT CONGRUENCES; BERNOULLI;
D O I：
10.1007/s13226-024-00622-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we first attempt to study sums of powers and to obtain some divisibility properties of the Stirling numbers of the first kind based on Newton-Girard's identity. Then, using the obtained results, we study the divisibility properties of Wolstenholme's theorem for the generalized harmonic numbers. Finally, we answer some open questions raised in 1992 by Y.Matiyasevich.
引用
收藏
页数：11
相关论文
共 50 条
12345