Open questions and recent developments in Iwasawa theory

Open questions and recent developments in Iwasawa theory
in honor of Ralph Greenberg's 60th birthday
June 2005

Towards two variable p-adic L-functions of CM elliptic curves at supersingular primes


Shinichi Kobayashi

Nagoya Univ. and Paris 6

Abstract

Nothing seems to be known about two variable p-adic L-functions of CM elliptic curves in the supersingular case. I will show an attempt to construct such a p-adic L-function using theta functions. The attempt has not yet succeeded but it enlightens us what is the problem.