Universal Fourier expansions of Bianchi modular forms
arXiv:1910.12356 · doi:10.1142/S1793042120500372
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.
13 pages. International Journal of Number Theory