On Catalan's conjecture

DOI10.1016/0022-314X(90)90145-HzbMath0699.10029WikidataQ123333179 ScholiaQ123333179MaRDI QIDQ912892

K. Inkeri

Publication date: 1990

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

zbMATH Keywords

Catalan's equation

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Related Items (7)

A class number free criterion for Catalan's conjecture. ⋮ Un nouveau critère pour l'équation de Catalan ⋮ Catalan's Equation Has No New Solution with Either Exponent Less Than 10651 ⋮ Solutions of the congruence 𝑎^{𝑝-1}≡1 (mod 𝑝^{𝑟}) ⋮ Class number bounds and Catalan’s equation ⋮ Catalan’s Conjecture: Another old Diophantine problem solved ⋮ On the Catalan equation. II

Cites Work

• Consecutive powers
• Sur la divisibilite par 8 et 16 des nombres de classes d'ideaux des corps quadratiques \(Q(\sqrt{2p})\) et \(Q(\sqrt{-2p})\)
• Class Number Computations of Real Abelian Number Fields
• On Catalan's problem
• Note on the Congruence a p-1 ≡1 (mod p 2 )
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