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math.NT2004
On Twisted Zeta-Functions at s=0
David Solomon
Let K be an abelian extension of a totally real number field k, K^+ its maximal real subfield and G=Gal(K/k). We have previously used twisted zeta-functions to define a meromorphic…
math.NT2003★ 1 cited
Abelian Conjectures of Stark Type in Z_p Extensions of Totally Real Fields
David Solomon
We study the behaviour of the Stark conjecture for an abelian extension K/k of totally real number fields as K varies in a cyclotomic Z_p-tower. We consider possible strengthenings…
math.NT2002
Verifying a p-adic Abelian Stark Conjecture at s=1
Xavier-Francois Roblot, David Solomon
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 te…