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Congruences of p--adic Integer Order Bernoulli Numbers Arnold Adelberg
 

Summary: Congruences of p--adic Integer Order Bernoulli Numbers
Arnold Adelberg
Department of Mathematics
Grinnell College
Grinnell, Iowa 50112
1

P--ADIC INTEGER ORDER BERNOULLI NUMBERS
Arnold Adelberg
Department of Mathematics
Grinnell College
Grinnell, Iowa 50112
2

Abstract
In this paper we establish some new congruences of p­adic 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.
3

  

Source: Adelberg, Arnold - Department of Mathematics and Computer Science, Grinnell College

 

Collections: Mathematics