Non-commutative p-adic L-functions for supersingular primes
Number Theory
2015-10-23 v2
Abstract
Let E/Q be an elliptic curve with good supersingular reduction at p with a_p(E)=0. We give a conjecture on the existence of analytic plus and minus p-adic L-functions of E over the Zp-cyclotomic extension of a finite Galois extension of Q where p is unramified. Under some technical conditions, we adopt the method of Bouganis and Venjakob for p-ordinary CM elliptic curves to construct such functions for a particular non-abelian extension.
Keywords
Cite
@article{arxiv.1201.1051,
title = {Non-commutative p-adic L-functions for supersingular primes},
author = {Antonio Lei},
journal= {arXiv preprint arXiv:1201.1051},
year = {2015}
}
Comments
13 pages; some minor corrections; to appear in International Journal of Number Theory