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On a Refined Stark Conjecture for Function Fields

Published online by Cambridge University Press:  04 December 2007

CRISTIAN D. POPESCU
CRISTIAN D. POPESCU
Affiliation:
Department of Mathematics, University of Texas at Austin, Austin, TX 78712-1082, U.S.A. e mail [email protected]
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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.

Keywords

special values of Abelian L-functionsunitsclass groupscharacteristic p-global fields.
Type
Research Article
Information
Compositio Mathematica , Volume 116 , Issue 3 , May 1999 , pp. 321 - 367
Copyright
© 1999 Kluwer Academic Publishers