English

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

Number Theory 2008-01-28 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0801.3939,
  title  = {Special values of L-functions and false Tate curve extensions II},
  author = {Thanasis Bouganis},
  journal= {arXiv preprint arXiv:0801.3939},
  year   = {2008}
}