Quartic integral polynomial Pell equations

DOI10.1016/j.jnt.2023.12.009arXiv2307.04566WikidataQ129496444 ScholiaQ129496444MaRDI QIDQ6150376

No author found.

Publication date: 6 March 2024

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

Full work available at URL: https://arxiv.org/abs/2307.04566

zbMATH Keywords

elliptic curvesabelian varietiescontinued fractionsPell equationLaurent series

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Rational points (14G05) Continued fractions (11A55) Cubic and quartic Diophantine equations (11D25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Torsion points on families of simple abelian surfaces and Pell's equation over polynomial rings (with an appendix by E. V. Flynn)
• Solutions of polynomial Pell's equation
• Polynomial solutions for the Pell's equation
• Polynomial solutions for Pell's equation revisited
• Polynomial Pell's equation. II
• Polynomial Pell's Equations
• Universal Bounds on the Torsion of Elliptic Curves
• Multiples of Points on Elliptic Curves and Continued Fractions
• On continued fractions and diophantine approximation in power series fields
• Polynomial Pell’s equation

This page was built for publication: Quartic integral polynomial Pell equations