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Verifying a p-adic Abelian Stark Conjecture at s=1

Xavier-Francois Roblot·David Solomon
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Abstract

In a previous paper the second author developed a new approach to the abelian p-adic Stark Conjecture at s=1 and stated some related conjectures. This paper develops and applies techniques using p-adic measures and continued fractions to numerically investigate one of these conjectures to high precision in fifteen cases with a real quadratic base field.

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Xavier-Francois Roblot, David Solomon. 2002-10-11. Verifying a p-adic Abelian Stark Conjecture at s=1. https://arxiv.org/abs/math/0210176

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