Overconvergent modular symboles and p-adic L-functions
Number Theory
2021-01-19 v1
Abstract
We come back to the construction of p-adic L-functions attached to cusp forms of even weight k in the spirit of G. Stevens, R. Pollack [7] and M. Greenberg [3] with a new unified presentation including the non-ordinary case. This construction is based on Stevens's modular symbols rather than q-developments. We review the proofs in order to obtain an effective algorithm guaranteeing a given p-adic accuracy.
Cite
@article{arxiv.2101.06960,
title = {Overconvergent modular symboles and p-adic L-functions},
author = {Karim Belabas and Bernadette Perrin-Riou},
journal= {arXiv preprint arXiv:2101.06960},
year = {2021}
}
Comments
in French