Special values of L-functions and false Tate curve extensions II

Details Special values of L-functions and false Tate curve extensions II Special values of L-functions and false Tate curve extensions II

2008-01-25

arxiv.org/abs/0801.3939v1

Mathematics

Number Theory

Scientific paper

In this paper we show how one can combine the p-adic Rankin-Selberg product construction of Hida with freeness results of Hecke modules of Wiles to establish interesting congruences between special values of L-functions. These congruences is a part of some deep conjectural congruences that follow from the work of Kato on the non-commutative Iwasawa theory of the false Tate curve extension.

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