Mathematics of Computation

Author(s): B. Datskovsky; P. Guerzhoy.
Journal: Math. Comp. 73 (2004), 861-868.
MSC (2000): Primary 11F33, 11F67
Posted: October 2, 2003
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Abstract: We consider powers of a grossencharacter, the corresponding

-functions twisted with quadratic Dirichlet characters, and their central critical values. We state several conjectures concerning Kummer-type congruences between these numbers for a ramified prime and describe specific numerical data in support of these conjectures.

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B. Datskovsky
Affiliation: Department of Mathematics, Wachman Hall, 1805 North Broad Street, Temple University, Philadelphia, Pennsylvania 19122
Email: bdats@euclid.math.temple.edu

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