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Millennial Conference on Number Theory
May 21-26, 2000
University of Illinois
Urbana, IL, USA

Organizers
B.C. Berndt, N. Boston, H.G. Diamond, A.J. Hildebrand, W. Philipp

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Sum sets covering squares
by
Antal Balog
Hungarian Academy of Sciences

Let k >= 2 and N > N0 be fixed and suppose that \Cal A is a subset of the natural numbers up to N such that \Cal A + \Cal A contains all perfect k-th powers. We give a lower bound for |\Cal A| and also give an explicit construction for such a set.

Date received: April 3, 2000

Copyright © 2000 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 # caew-62.