14 citations · 54 across the 30 of their papers we have counts for
4 papers · 2 filters
Quinary forms and paramodular forms
Neil Dummigan, Ariel Pacetti, Gustavo Rama +1
We work out the exact relationship between algebraic modular forms for a two-by-two general unitary group over a definite quaternion algebra, and those arising from genera of posit…
On the equation for square-free
Franco Golfieri, Ariel Pacetti, Lucas Villagra Torcomian
The purpose of the present article is to show how the modular method together with different techniques can be used to prove non-existence of primitive non-trivial solutions of the…
A simplified proof of Serre's Conjectures
Luis Victor Dieulefait, Ariel Martín Pacetti
The purpose of this short note is to present a simplified proof of Serre's modularity conjecture using the strong modularity lifting results currently available. This second versio…
-curves, Hecke characters and some Diophantine equations II
Ariel Pacetti, Lucas Villagra Torcomian
In the article [PV] a general procedure to study solutions of the equations was presented for negative values of . The purpose of the resent article is to extend…