Class number bounds and Catalan’s equation

DOI10.1090/S0025-5718-98-00966-1zbMath0897.11009MaRDI QIDQ4396466

Ray P. Steiner

Publication date: 14 June 1998

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

class number boundsalgebraic number fieldsCatalan's equation

Mathematics Subject Classification ID

Quadratic extensions (11R11) Computer solution of Diophantine equations (11Y50) Class numbers, class groups, discriminants (11R29) Exponential Diophantine equations (11D61) Software, source code, etc. for problems pertaining to number theory (11-04)

Related Items (5)

On the use of explicit bounds on residues of Dedekind zeta functions taking into account the behavior of small primes ⋮ A class number free criterion for Catalan's conjecture. ⋮ On \(p^x-q^y=c\) and related three term exponential Diophantine equations with prime bases. ⋮ Catalan’s Conjecture: Another old Diophantine problem solved ⋮ Computation of Relative Class Numbers of Imaginary Abelian Number Fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Catalan's conjecture
• Linear forms in the logarithms of three positive rational numbers
• Explicit upper bounds of \(|L(1,\chi)|\). IV
• A criterion on Catalan's equation
• Linear forms in two logarithms and interpolation determinants
• Computation of Relative Class Numbers of Imaginary Abelian Number Fields
• On the 𝑝-divisibility of Fermat quotients
• A note on Catalan's equation
• Catalan's Equation Has No New Solution with Either Exponent Less Than 10651
• On Catalan's problem

This page was built for publication: Class number bounds and Catalan’s equation