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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 comparison of two sieves
by
H. Halberstam
University of Illinois, Urbana-Champaign
Coauthors: Harold G. Diamond (UIUC)

In practice the DHR sieve has been mostly better, and never worse, than the Ankeny-Onishi sieve; but to demonstrate this theoretically has proved quite hard. We now can give such a demonstration for all sufficiently large sieve dimensions, and we present the sketch of the argument.

Date received: April 7, 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-69.