Ariel Pacetti
Member of the group since 2007
Principal Researcher at the Universidade de Aveiro, holding a CIDMA Chair in Number Theory since July 2025.
Publications
- On rank 2 hypergeometric motivesPreprint, arXiv:2603.179782026Article
- Quinary forms and paramodular formsMath. Comput. 93, No. 348, 1805-1858 (2024)2024Article
- On 2-Selmer groups and quadratic twists of elliptic curvesMath. Res. Lett. 28, No. 6, 1633-1659 (2021)2021Article
- On the paramodularity of typical abelian surfacesAlgebra Number Theory 13, No. 5, 1145-1195 (2019)2019Article
- Shimura correspondence for level p² and the central values of L-series. II.Int. J. Number Theory 10, No. 7, 1595-16352014Article
- Computing ideal classes representatives in quaternion algebrasMath. Comput. 83, No. 289, 2479-25072014Article
- Computing central values of twisted L-series: the case of composite levelsExperimental Mathematics 17, no. 4 (2008), 459-4712008Article
Researcher training
- Cálculo de formas de Hilbert2021Bachelor's Monograph