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Congruences for Bernoulli, Euler, and Stirling Numbers

✍ Scribed by Paul Thomas Young

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 193 KB
Volume: 78
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1999.2401

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✦ Synopsis

We use properties of p-adic integrals and measures to obtain congruences for higher-order Bernoulli and Euler numbers and polynomials, as well as for certain generalizations and for Stirling numbers of the second kind. These congruences are analogues and generalizations of the usual Kummer congruences for the ordinary Bernoulli numbers.

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