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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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Exceptional sets for sums of primes and squares of primes
by
Angel Kumchev
Towson University
Coauthors: Jianya Liu

Let H2 denote the set of even integers n \not ≡ 1 mod 3. We prove that when H ≥ X0.33, almost all integers n ∈ H2 ∩(X, X + H] can be represented as the sum of a prime and the square of a prime. We also prove a similar result for sums of three squares of primes.

Date received: April 9, 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-16.