Simultaneous Pell equations

DOI10.1006/jnth.1996.0137zbMath0882.11016OpenAlexW2034625818MaRDI QIDQ678397

J. H. Rickert, David W. Masser

Publication date: 17 April 1997

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

Full work available at URL: https://doi.org/10.1006/jnth.1996.0137

zbMATH Keywords

Padé approximationsPell equationssimultaneous approximation to algebraic numbers

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Approximation to algebraic numbers (11J68)

Related Items (13)

Solving families of simultaneous Pell equations ⋮ On simultaneous Pell equations and related Thue equations ⋮ Uniqueness conjecture on simultaneous Pell equations ⋮ The regularity of Diophantine quadruples ⋮ Unnamed Item ⋮ Uniqueness of solutions to simultaneous Pell equations ⋮ Gröbner bases and Diophantine analysis ⋮ Simultaneous quadratic equations with few or no solutions ⋮ On the number of solutions to systems of Pell equations ⋮ On \(Y\)-coordinates of Pell equations which are members of a fixed binary recurrence ⋮ Establishing the minimal index in a parametric family of bicyclic biquadratic fields ⋮ Explicit formula for the solution of simultaneous Pell equations 𝑥²-(𝑎²-1)𝑦²=1, 𝑦²-𝑏𝑧²=1 ⋮ An absolute bound for the size of Diophantine \(m\)-tuples

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