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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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The "Modularity" conjecture of certain two dimensional varieties
by
Ling Long
The Pennsylvania State University

Motivated by the proof the Shimura-Taniyama-Weil conjecture, I investigate arithmetic of a similar nature for elliptic modular surfaces attached to torsion-free genus zero subgroups of PSL2(Z). For certain elliptic modular surfaces, explicit Weierstrass equations are obtained and the modularity of their Hasse-Weil Zeta functions has been estabilished.

Date received: March 2, 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 # cadx-46.