On the order of vanishing of the cyclotomic p-adic L-function
Number Theory
2012-08-02 v3
Abstract
For a newform for Gamma_0(N) of even weight k, we prove that its attached p-adic L-function is not identically zero on the group Z_p of the p-adic units. If p >3, we prove that the order of vanishing at any p-adic integer is finite.
Cite
@article{arxiv.0905.4682,
title = {On the order of vanishing of the cyclotomic p-adic L-function},
author = {Ivan Blanco},
journal= {arXiv preprint arXiv:0905.4682},
year = {2012}
}
Comments
This paper has been withdrawn by the author due to a mistake concerning the non-vanishing mod p