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Canadian Number Theory Association X Meeting (CNTA X)
July 13-18, 2008
University of Waterloo
Waterloo, Ontario, Canada

Organizers
Kevin Hare (Waterloo, Wentang Kuo (Waterloo), Yu-Ru Liu (Waterloo), David McKinnon (Waterloo), Michael Rubinstein (Waterloo), Cam Stewart (Waterloo)

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On the exceptional sets for the Waring-Goldbach problem for cubes.
by
Koichi Kawada
Iwate University

It is known for s=5, 6, 7 and 8 that almost all natural numbers satisfying certain necessary congruence conditions can be written as the sum of s cubes of primes, and the currently best bounds for the density of the exceptions are due to Kumchev. It shall be reported in this talk that slightly sharper bounds are obtained by altering the sieve procedure of Kumchev.

Date received: May 14, 2008

Copyright © 2008 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 # cawl-46.