The diophantine equation \(ax+by=c\) in \({\mathbb{Q}}(\sqrt{5})\) and other number fields

DOI10.2140/PJM.1985.119.465zbMath0545.10009OpenAlexW1521243139MaRDI QIDQ797621

David Rosen

Publication date: 1985

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

Full work available at URL: https://doi.org/10.2140/pjm.1985.119.465

zbMATH Keywords

Fibonacci numberconvergentcontinued fraction algorithm\(\lambda\)-fractionslinear diophantine equationnearest integer algorithm

Mathematics Subject Classification ID

Other number fields (11R21) Linear Diophantine equations (11D04)

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