On p-adic analogue of Weil's elliptic functions according to Eisenstein
Number Theory
2014-10-09 v3
Abstract
In this paper, using p-adic integration with values in spaces of modular forms, we construct the p-adic analogue of Weil's elliptic functions according to Eisenstein in the book "Elliptic functions according to Eisenstein and and Kronecker". This construction extends Serre's p-adic family of Eisenstein series in "Formes modulaires et fonctions z\^eta p-adiques". We show that the power series expansion of Weil's elliptic functions also exists in the p-adic case.
Keywords
Cite
@article{arxiv.1309.4384,
title = {On p-adic analogue of Weil's elliptic functions according to Eisenstein},
author = {Su Hu and Min-Soo Kim},
journal= {arXiv preprint arXiv:1309.4384},
year = {2014}
}
Comments
14 pages