A class number free criterion for Catalan's conjecture.

DOI10.1016/S0022-314X(02)00101-4zbMath1049.11036WikidataQ123096814 ScholiaQ123096814MaRDI QIDQ1874318

Preda Mihaĭlescu

Publication date: 25 May 2003

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

zbMATH Keywords

exponential diophantine equationsCatalan's equation

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Related Items (10)

On the generalized Pillai equation \(\pm a^{x}\pm b^{y}=c\) ⋮ Catalan without logarithmic forms (after Bugeaud, Hanrot and Mihăilescu) ⋮ On Wieferich and non-Wieferich primes with prime bases ⋮ Class Number Conditions for the Diagonal Case of the Equation of Nagell and Ljunggren ⋮ On the multiplicativity of the linear combination of additive representation functions ⋮ On the class groups of cyclotomic extensions in presence of a solution to Catalan's equation ⋮ On automorphism groups of certain Goppa codes ⋮ Catalan’s Conjecture: Another old Diophantine problem solved ⋮ Invariant complements normalized by the fixed point subgroup ⋮ Wieferich pairs and Barker sequences

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• Class number bounds and Catalan’s equation
• A note on Catalan's equation
• Catalan's Equation Has No New Solution with Either Exponent Less Than 10651
• Catalan's Conjecture
• On Catalan's problem
• A sharpening of the bounds for linear forms in logarithms II

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