A multi-Frey approach to Fermat equations of signature $(r,r,p)$

DOI10.1090/tran/7477zbMath1446.11052arXiv1703.06530OpenAlexW2963616879MaRDI QIDQ5380508

Imin Chen, Nicolas Billerey, Nuno Freitas, Luis V. Dieulefait

Publication date: 5 June 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.06530

zbMATH Keywords

Fermat equationsmodular methodGeneralized Fermat Equationmulti-Frey modular method

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Galois representations (11F80) Higher degree equations; Fermat's equation (11D41)

Related Items (4)

Raising the level at your favorite prime ⋮ Asymptotic Fermat for signatures \((r,r,p)\) using the modular approach ⋮ Some extensions of the modular method and Fermat equations of signature \((13,13,n)\) ⋮ Two results on 𝑥^{𝑟}+𝑦^{𝑟}=𝑑𝑧^{𝑝}

Uses Software

• Magma
• LMFDB
• ecdata

Cites Work

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