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On a Refined Stark Conjecture for Function Fields

Published online by Cambridge University Press:  04 December 2007

CRISTIAN D. POPESCU
Affiliation:
Department of Mathematics, University of Texas at Austin, Austin, TX 78712-1082, U.S.A. e mail popescu@math.utexas.edu
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Abstract

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We prove that a refinement of Stark‘s Conjecture formulated by Rubin in Ann. Inst Fourier 4 (1996) is true up to primes dividing the order of the Galois group, for finite, Abelian extensions of function fields over finite fields. We also show that in the case of constant field extensions, a statement stronger than Rubin‘s holds true.

Type
Research Article
Copyright
© 1999 Kluwer Academic Publishers