There Exist Non-CM Hilbert Modular Forms of Partial Weight 1
Number Theory
2015-04-21 v4
Abstract
In this note, we prove that there exists a classical Hilbert modular cusp form over Q(\sqrt{5}) of partial weight one which does not arise from the induction of a Grossencharacter from a CM extension of Q(\sqrt{5}).
Keywords
Cite
@article{arxiv.1407.3872,
title = {There Exist Non-CM Hilbert Modular Forms of Partial Weight 1},
author = {Richard A. Moy and Joel Specter},
journal= {arXiv preprint arXiv:1407.3872},
year = {2015}
}