6 citations · 16 across the 15 of their papers we have counts for
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math.NT2008
On the classification of geometric families of 4-dimensional Galois representations
Luis Dieulefait, Nuria Vila
We give a classification theorem for certain four-dimensional families of geometric -adic Galois representations attached to a pure motive. More precisely, we consider families…
math.NT2008
Proving modularity for a given elliptic curve over an imaginary quadratic field
Luis Dieulefait, Lucio Guerberoff, Ariel Pacetti
We present an algorithm to determine if the -series associated to an automorphic representation and the one associated to an elliptic curve over an imaginary quadratic field agr…
math.NT2008
Solving Fermat-type equations x^5+y^5=dz^p
Nicolas Billerey, Luis Dieulefait
In this paper we are interested in solving the Fermat-type equations x^5+y^5=dz^p where d is a positive integer and p a prime number . We describe a new method based on modu…