Eigenform Product Identities For Hilbert Modular Forms
Number Theory
2020-12-07 v1
Abstract
We prove that amongst all real quadratic fields and all spaces of Hilbert modular forms of full level and of weight or greater, the product of two Hecke eigenforms is not a Hecke eigenform except for finitely many real quadratic fields and finitely many weights. We show that for there are exactly two such identities.
Cite
@article{arxiv.1505.01538,
title = {Eigenform Product Identities For Hilbert Modular Forms},
author = {Kirti Joshi and Yichao Zhang},
journal= {arXiv preprint arXiv:1505.01538},
year = {2020}
}
Comments
24 pages