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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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Some Parity Results for 2^t-Cores
by
Matthew G. Boylan
Penn St. University

Recently, Hirschhorn, Sellers, and others proved results about the parity of t-cores for t which are small powers of 2. Using the nilpotence of Hecke algebras, we prove a general theorem about the parity of t-cores when t is any power of 2.

Date received: March 15, 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-16.