Class Number Conditions for the Diagonal Case of the Equation of Nagell and Ljunggren

DOI10.1007/978-3-211-74280-8_15zbMath1239.11036OpenAlexW2143591611MaRDI QIDQ3530438

Preda Mihaĭlescu

Publication date: 20 October 2008

Published in: Diophantine Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-211-74280-8_15

zbMATH Keywords

Fermat Last TheoremNagell--Ljunggren equationStickelberger module

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Exponential Diophantine equations (11D61) Cyclotomic extensions (11R18)

Related Items (2)

On equation Xn − 1 = BZn ⋮ The Generalized Nagell–Ljunggren Problem: Powers with Repetitive Representations

Cites Work

• A class number free criterion for Catalan's conjecture.
• On the class groups of cyclotomic extensions in presence of a solution to Catalan's equation
• Sur L'équation Diophantienne (x ⁿ −1)/(x −1)=y ^q , III
• Un nouveau critère pour l'équation de Catalan
• Primary cyclotomic units and a proof of Catalans conjecture
• Catalan's Conjecture
• Eine Bemerkung zur Fermatschen Vermutung
• Irregular primes and cyclotomic invariants to 12 million
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