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math.NT2018
On the number of Galois orbits of newforms
Luis Dieulefait, Ariel Pacetti, Panagiotis Tsaknias
Counting the number of Galois orbits of newforms in and giving some arithmetic sense to this number is an interesting open problem. The case corresponds to Maed…
math.NT2018
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…