3 papers
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.NT2005
Newton-Hensel Interpolation Lifting
Martin Avendaño, Teresa Krick, Ariel Pacetti
The main result of this paper is a new version of Newton-Hensel lifting that relates to interpolation questions. It allows one to lift polynomials in from information modulo…
math.NT2003
A formula for the central value of certain Hecke L-functions
Ariel Pacetti
Let N = 1 mod 4 be the negative of a prime, K=Q(sqrt{N}) and O_K its ring of integers. Let D be a prime ideal in O_K of prime norm congruent to 3 modulo 4. Under these assumptions,…