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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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A survey of additive number theory
by
Melvyn B. Nathanson
Lehman College (CUNY)

Beginning with the classical additive bases, such as sets of squares, cubes, and higher powers and the set of primes, this talk will survey problems and results in additive number theory, with a special emphasis on various extremal problems for bases. The talk will also review abelian generalizations of these problems, and discuss the relation between nonabelian additive number theory and geometric group theory.

Date received: April 16, 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-72.