2 citations · 3 across the 5 of their papers we have counts for
5 papers
Computing Hilbert modular forms as orthogonal modular forms
Jeffery Hein, Gonzalo Tornaria, John Voight
We show how to efficiently compute Hilbert modular forms as orthogonal modular forms, generalizing and expanding upon the method of Birch.
A database of paramodular forms from quinary orthogonal modular forms
Eran Assaf, Watson Ladd, Gustavo Rama +2
We compute tables of paramodular forms of degree two and cohomological weight via a correspondence with orthogonal modular forms on quinary lattices.
On the paramodularity of typical abelian surfaces (and reduction of G-covariant bilinear forms)
Armand Brumer, Ariel Pacetti, Cris Poor +3
Generalizing the method of Faltings-Serre, we rigorously verify that certain abelian surfaces without extra endomorphisms are paramodular. To compute the required Hecke eigenvalues…
Nonvanishing of twists of -functions attached to Hilbert modular forms
Nathan C. Ryan, Gonzalo Tornaria, John Voight
We describe algorithms for computing central values of twists of -functions associated to Hilbert modular forms, carry out such computations for a number of examples, and compar…
Computing central values of twisted L-series: the case of composite levels
Ariel Pacetti, Gonzalo Tornaría
Let f be a newform of weight two and composite level N. We show how to compute weight 3/2 modular forms "associated" to f whose Fourier coefficients are related to the central valu…