On a Refined Stark Conjecture for Function Fields

Mathematics – Number Theory

Scientific paper

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Scientific paper

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.

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