Improved lower bounds for possible solutions in the second case of the Fermat last theorem and in the Catalan equation

DOI10.1016/j.jnt.2021.01.022zbMath1469.11049OpenAlexW3130495442MaRDI QIDQ2030219

Preda Mihaĭlescu

Publication date: 7 June 2021

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2021.01.022

zbMATH Keywords

lower boundsFermat last theorem

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Exponential Diophantine equations (11D61) Higher degree equations; Fermat's equation (11D41) Cyclotomic extensions (11R18)

Related Items (2)

Explicit estimates in inter-universal Teichmüller theory ⋮ Double exponential lower bounds for possible solutions in the second case of the Fermat last theorem

Cites Work

• Modular elliptic curves and Fermat's Last Theorem
• Ring-theoretic properties of certain Hecke algebras
• Inter-universal Teichmüller theory. I: Construction of Hodge theaters
• Catalan's conjecture
• The Problem of Catalan
• The First Case of Fermat's Last Theorem is True for all Prime Exponents up to 714,591,416,091,389
• Un nouveau critère pour l'équation de Catalan
• Primary cyclotomic units and a proof of Catalans conjecture
• Irregular primes to two billion
• Catalan's Conjecture
• Irregular primes and cyclotomic invariants to 12 million
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