Universal Fourier expansions of Bianchi modular forms
Number Theory
2019-10-29 v1
Abstract
We generalize Merel's work on universal Fourier expansions to Bianchi modular forms over Euclidean imaginary quadratic fields, under the assumption of the nondegeneracy of a pairing between Bianchi modular forms and Bianchi modular symbols. Among the key inputs is a computation of the action of Hecke operators on Manin symbols, and building upon the Heilbronn-Merel matrices constructed by Mohamed.
Keywords
Cite
@article{arxiv.1910.12356,
title = {Universal Fourier expansions of Bianchi modular forms},
author = {Tian An Wong},
journal= {arXiv preprint arXiv:1910.12356},
year = {2019}
}
Comments
13 pages. International Journal of Number Theory