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

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

2002-10-11

arxiv.org/abs/math/0210176v1

Mathematics

Number Theory

29 pages plus 7 tables

Scientific paper

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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