Congruences of p-adic integer order Bernoulli numbers

被引：15

作者：

Adelberg, A ^{[1
]}

机构：

[1] GRINNELL COLL,DEPT MATH,GRINNELL,IA 50112

来源：

JOURNAL OF NUMBER THEORY | 1996年 / 59卷 / 02期

关键词：

D O I：

10.1006/jnth.1996.0103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish some new congruences of p-adic integer order Bernoulli numbers. These generalize the Kummer congruences for ordinary Bernoulli numbers. We apply our congruences to prove irreducibility of certain Bernoulli polynomials with order divisible by p and to get new congruences for Stirling numbers. (C) 1996 Academic Press, Inc.

引用

页码：374 / 388

页数：15

共 12 条

[1] ON THE DEGREES OF IRREDUCIBLE FACTORS OF HIGHER-ORDER BERNOULLI POLYNOMIALS [J].