ℚ-Curves, Hecke characters and some Diophantine equations

DOI10.1090/mcom/3759zbMath1503.11072arXiv2007.11486OpenAlexW4280597202MaRDI QIDQ5103761

Ariel Pacetti, Lucas Villagra Torcomian

Publication date: 8 September 2022

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.11486

zbMATH Keywords

Galois representationsHecke charactersFermat equations\(\mathbb{Q}\)-curves

Mathematics Subject Classification ID

Galois representations (11F80) Higher degree equations; Fermat's equation (11D41)

Related Items (5)

ℚ-Curves, Hecke characters and some Diophantine equations ⋮ Asymptotic Fermat for signature \((4, 2, p)\) over number fields ⋮ On the equation x2 + dy6 = zp for square-free 1 ≤ d ≤ 20 ⋮ \(\mathbb{Q}\)-curves, Hecke characters, and some Diophantine equations. II ⋮ An exotic example of a tensor product of a CM elliptic curve and a weight 1 form

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