Ariel Pacetti

External Researcher

Member of the group since 2007

Principal Researcher at the Universidade de Aveiro, holding a CIDMA Chair in Number Theory since July 2025.

Publications

Quinary forms and paramodular formsMath. Comput. 93, No. 348, 1805-1858 (2024)2024
Neil Dummigan, Ariel Pacetti, Gustavo Rama, Gonzalo TornaríaArticle
On 2-Selmer groups and quadratic twists of elliptic curvesMath. Res. Lett. 28, No. 6, 1633-1659 (2021)2021
Daniel Barrera Salazar, Ariel Pacetti, Gonzalo TornaríaArticle
On the paramodularity of typical abelian surfacesAlgebra Number Theory 13, No. 5, 1145-1195 (2019)2019
Armand Brumer, Ariel Pacetti, Cris Poor, Gonzalo Tornaría, John Voight, David YuenArticle
Computing central values of twisted L-series: the case of composite levelsExperimental Mathematics 17, no. 4 (2008), 459-4712008
Ariel Pacetti, Gonzalo TornaríaArticle

Projects

Desarrollo de capacidades de investigación en matemática computacional a partir de la teoría de números

1 April 2021 – 30 June 2023 10

El problema de la base para formas modulares de Hilbert de peso medio entero

1 April 2018 – 31 March 2021 8

Formas modulares: coeficientes de Fourier y valores centrales de L-series

1 January 2011 – 31 December 2012 5