Complete solutions of the simultaneous Pell equations \((a^2+1)y^2-x^2 = y^2-bz^2 = 1\)

DOI10.3934/math.2021577OpenAlexW3178520646MaRDI QIDQ2671048

Jiagui Luo, Changsheng Luo

Publication date: 3 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021577

zbMATH Keywords

Diophantine equationsminimal solutionsLucas sequencessimultaneous Pell equations

Mathematics Subject Classification ID

Recurrences (11B37) Cubic and quartic Diophantine equations (11D25) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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