On the class groups of cyclotomic extensions in presence of a solution to Catalan's equation

DOI10.1016/j.jnt.2005.08.011zbMath1104.11049OpenAlexW2141222868MaRDI QIDQ2493058

Preda Mihaĭlescu

Publication date: 9 June 2006

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2005.08.011

zbMATH Keywords

Catalan's conjecture

Mathematics Subject Classification ID

Cyclotomic extensions (11R18)

Related Items

Catalan without logarithmic forms (after Bugeaud, Hanrot and Mihăilescu) ⋮ New bounds and conditions for the equation of Nagell-Ljunggren ⋮ Class Number Conditions for the Diagonal Case of the Equation of Nagell and Ljunggren

Cites Work

• On a criterion for Catalan's conjecture
• A class number free criterion for Catalan's conjecture.
• Sur L'équation Diophantienne (x ⁿ −1)/(x −1)=y ^q , III
• Un nouveau critère pour l'équation de Catalan
• Catalan's Conjecture
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item