Atlas Mathematical Conference Abstracts || Conferences | Abstracts | for Organizers | About AMCA

Canadian Number Theory Association VIII Meeting
June 20-25, 2004
The Fields Institute
Toronto, ON, Canada

Organizers
John Friedlander (Toronto) and Cam Stewart (Waterloo)

View Abstracts
Conference Homepage

The Frobenius Problem, Sums of Powers of Integers, and Recurrences for the Bernoulli Numbers
by
Hans J. H. Tuenter
Schulich School of Business, York University, Toronto, Canada

In the Frobenius problem with two variables, one is given two positive integers a and b that are relative prime, and is concerned with the set of positive numbers NR that have no representation by the linear form ax+by in nonnegative integers x and y. We give a characterization of the set NR, and use it to establish a relation between the power sums over its elements and the power sums over the natural numbers. This relation is used to derive new recurrences for the Bernoulli numbers.

Date received: April 30, 2004

Copyright © 2004 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 Mathematical Conference Abstracts. Document # caok-12.