Solving norm form equations via lattice basis reduction

DOI10.1216/rmjm/1181072024zbMath0877.11017OpenAlexW1967178411MaRDI QIDQ1359135

Michael A. Bennett

Publication date: 20 November 1997

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/vol26-3/contents/contents.htm

zbMATH Keywords

Padé approximationnorm form equationLLL-reduction

Mathematics Subject Classification ID

Diophantine inequalities (11D75) Multiplicative and norm form equations (11D57)

Related Items (1)

Effective methods for norm-form equations

Cites Work

• Solving exponential diophantine equations using lattice basis reduction algorithms
• An effective estimate for bounds of the number of solutions of a class of diophantine equations of norm form
• On the practical solution of the Thue equation
• Factoring polynomials with rational coefficients
• Linear forms with algebraic coefficients. II
• Effective bounds for the number of solutions of certain Diophantine equations
• Explicit solution of a class of quartic Thue equations
• On the Resolution of Inhomogeneous Norm Form Equations in Two Dominating Variables
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x). II
• Simultaneous rational approximations and related diophantine equations
• The Solution of Triangularly Connected Decomposable Form Equations
• A Thue Equation with Quadratic Integers as Variables
• Primes in arithmetic progressions
• Simultaneous rational approximation to binomial functions
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