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Southeastern Regional Meeting on Numbers (SERMON)
May 2-3, 1998
University of North Carolina at Greensboro
Greensboro, NC, USA

Organizers
Theresa P. Vaughan, Robert T. Johnson

View Abstracts

Kummer Congruences for higher-order Bernoulli numbers
by
Paul Young
College of Charleston

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

Date received: April 15, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caar-05.