Summary: Congruences of p--adic Integer Order Bernoulli Numbers
Arnold Adelberg
Department of Mathematics
Grinnell College
Grinnell, Iowa 50112
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P--ADIC INTEGER ORDER BERNOULLI NUMBERS
Arnold Adelberg
Department of Mathematics
Grinnell College
Grinnell, Iowa 50112
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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.
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Source: Adelberg, Arnold - Department of Mathematics and Computer Science, Grinnell College

Collections: Mathematics