On a Refined Stark Conjecture for Function Fields
Abstract
We prove that a refinement of Stark's Conjecture formulated by Rubin 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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 January 1997
 DOI:
 10.48550/arXiv.math/9701208
 arXiv:
 arXiv:math/9701208
 Bibcode:
 1997math......1208P
 Keywords:

 Mathematics  Number Theory