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math.NT2017
An automorphic approach to Darmon points
Xavier Guitart, Marc Masdeu, Santiago Molina
We give archimedean and non-archimedean constructions of Darmon points on modular abelian varieties attached to automorphic forms over arbitrary number fields and possibly non-triv…
math.NT2017
On the rank and the convergence rate towards the Sato-Tate measure
Francesc Fité, Xavier Guitart
Let be an abelian variety defined over a number field and let denote its Sato-Tate group. Under the assumption of certain standard conjectures on -functions attached to…