Galois families of modular forms and application to weight one
Number Theory
2021-07-13 v4
Abstract
We introduce Galois families of modular forms. They are a new kind of family coming from Galois representations of the absolute Galois groups of rational function fields over the rational field. We exhibit some examples and provide an infinite Galois family of non-liftable weight one Katz modular eigenforms over an algebraic closure of F_p for p in {3,5,7,11}.
Keywords
Cite
@article{arxiv.1909.04736,
title = {Galois families of modular forms and application to weight one},
author = {Sara Arias-de-Reyna and François Legrand and Gabor Wiese},
journal= {arXiv preprint arXiv:1909.04736},
year = {2021}
}
Comments
23 pages; v4: minor changes