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Ariel Pacetti

0000-0002-4539-1725
math.NTmath.AGmath.GR

On Valency

published · living versions
W_y6cdc35s·v1 · currentpublished
Serre's conjectures for \Q(\sqrt{13})
with Luis Dieulefait
1 version

Preprints & journals

34 papers in the corpus · 2004–2026
On rank 22 hypergeometric motives2603.17978v1 · Franco Golfieri Madriaga, Ariel Pacetti, Fernando Rodriguez Villegas2026 · 0 citationsarXiv
On the generalized Fermat equation of signature (5,p,3)(5,p,3)2512.17845v1 · Ariel Pacetti, Lucas Villagra Torcomian2025 · 0 citationsarXiv
On Transformation properties of hypergeometric motives and Diophantine equations2502.02776v1 · Ariel Pacetti2025 · 0 citationsarXiv
Hypergeometric motives and the generalized Fermat equation2412.08804v2 · Franco Golfieri Madriaga, Ariel Pacetti2024 · 1 citationarXiv
K-varieties and Galois representations2412.03184v1 · Enric Florit, Ariel Pacetti2024 · 0 citationsarXiv
On the 22-Selmer group of Jacobians of hyperelliptic curves2308.08663v1 · Daniel Barrera Salazar, Ariel Pacetti, Gonzalo Tornar'ia2023 · 0 citationsarXiv
On computing finite index subgroups of PSL(2,Z)2307.01826v1 · Nicol'as Mayorga Uruburu, Ariel Pacetti, Leandro Vendramin2023 · 0 citationsJ. Algebra Appl. 24 (2025), no. 9, Paper No. 2550215
On endomorphism algebras of GL2\text{GL}_2-type abelian varieties and Diophantine applications2211.16334v2 · Franco Golfieri Madriaga, Ariel Pacetti, Lucas Villagra Torcomian2022 · 0 citationsarXiv
Quinary forms and paramodular forms2112.03797v1 · Neil Dummigan, Ariel Pacetti, Gustavo Rama et al.2021 · 5 citationsarXiv
On the equation x2+dy6=zpx^2+dy^6=z^p for square-free 1≤d≤201\le d\le 202109.07291v1 · Franco Golfieri, Ariel Pacetti, Lucas Villagra Torcomian2021 · 0 citationsarXiv
A simplified proof of Serre's Conjectures2108.07577v2 · Luis Victor Dieulefait, Ariel Mart'in Pacetti2021 · 0 citationsarXiv
Q{\mathbb Q}-curves, Hecke characters and some Diophantine equations II2103.06965v2 · Ariel Pacetti, Lucas Villagra Torcomian2021 · 1 citationarXiv
On Galois representations of superelliptic curves2012.09927v1 · Ariel Pacetti, Angel Villanueva2020 · 0 citationsarXiv
Q\mathbb{Q}-curves, Hecke characters and some Diophantine equations2007.11486v3 · Ariel Pacetti, Lucas Villagra Torcomian2020 · 0 citationsarXiv
On 22-Selmer groups and quadratic twists of elliptic curves2001.02263v3 · Daniel Barrera Salazar, Ariel Pacetti, Gonzalo Tornar'ia2020 · 3 citationsarXiv
On rational Bianchi newforms and abelian surfaces with quaternionic multiplication1907.12103v2 · John Cremona, Lassina Demb'el'e, Ariel Pacetti et al.2019 · 0 citationsarXiv
On the paramodularity of typical abelian surfaces (and reduction of G-covariant bilinear forms)1805.10873v4 · Armand Brumer, Ariel Pacetti, Cris Poor et al.2018 · 17 citationsAlg. Number Th. 13 (2019) 1145-1195
On the number of Galois orbits of newforms1805.10361v1 · Luis Dieulefait, Ariel Pacetti, Panagiotis Tsaknias2018 · 8 citationsarXiv
Anticyclotomic pp-adic LL-functions for elliptic curves at some additive reduction primes1801.01619v2 · Daniel Kohen, Ariel Pacetti2018 · 0 citationsarXiv
Non-paritious Hilbert modular forms1612.06625v3 · Lassina Dembele, David Loeffler, Ariel Pacetti2016 · 2 citationsMath. Zeit. 292 (2019), no. 1, 361--385
On Heegner Points for primes of additive reduction ramifying in the base field1505.08059v2 · Daniel Kohen, Ariel Pacetti (with an appendix by Marc Masdeu)2015 · 7 citationsarXiv
Theta Lifts of Bianchi Modular Forms and Applications to Paramodularity1404.5142v1 · Tobias Berger, Lassina Dembele, Ariel Pacetti et al.2014 · 14 citationsarXiv
Heegner points on Cartan non-split curves1403.7801v3 · Daniel Kohen, Ariel Pacetti2014 · 7 citationsCan. J. Math.-J. Can. Math. 68 (2016) 422-444
Connectedness of Hecke Algebras and the Rayuela conjecture: a path to functoriality and modularity1402.6270v2 · Luis Dieulefait, Ariel Pacetti2014 · 0 citationsarXiv
Congruences between modular forms modulo prime powers1312.4925v2 · Maximiliano Camporino, Ariel Pacetti2013 · 5 citationsarXiv
Hecke and Sturm bounds for Hilbert modular forms over real quadratic fields1310.6991v1 · Jose Ignacio Burgos Gil, Ariel Pacetti2013 · 6 citationsarXiv
On the change of root numbers under twisting and applications1010.3781v1 · Ariel Pacetti2010 · 13 citationsarXiv
Computing ideal classes representatives in quaternion algebras1007.2821v4 · Ariel Pacetti, Nicol'as Sirolli2010 · 5 citationsMathematics of Computation, 83(289):2479-2507, 2014
Shimura correspondence for level p2p^2 and the central values of LL-series II1005.5135v2 · Ariel Pacetti, Gonzalo Tornar'ia2010 · 6 citationsarXiv
Modularity of the Consani-Scholten quintic1005.4523v3 · Luis Dieulefait, Ariel Pacetti, Matthias Schuett2010 · 10 citationsarXiv
Proving modularity for a given elliptic curve over an imaginary quadratic field0804.2302v2 · Luis Dieulefait, Lucio Guerberoff, Ariel Pacetti2008 · 26 citationsarXiv
Computing central values of twisted L-series: the case of composite levelsmath/0607008v1 · Ariel Pacetti, Gonzalo Tornar'ia2006 · 3 citationsExperiment. Math. 17 (4) 459 - 472, 2008
Shimura correspondence for level p^2 and the central values of L-seriesmath/0606578v1 · Ariel Pacetti, Gonzalo Tornar'ia2006 · 5 citationsarXiv
Examples of Shimura correspondence for level p^2 and real quadratic twistsmath/0412104v1 · Ariel Pacetti, Gonzalo Tornaria2004 · 3 citationsarXiv
Career total: 63 works. 34 are in this corpus.

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