Periodic continued fractions over $S$-integers in number fields and Skolem’s $p$-adic method

DOI10.4064/aa191001-7-8zbMath1467.11064arXiv1909.11214OpenAlexW3107227981MaRDI QIDQ5854720

Noam D. Elkies, Bruce W. Jordan, Bradley W. Brock

Publication date: 17 March 2021

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.11214

zbMATH Keywords

Diophantine equationsperiodic continued fractionLjunggren's equationSkolem's \(p\)-adic method

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) [https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Related Items

Generalized Pell's equations and Weber's class number problem, Arithmetic complexity revisited, Elliptic curves and continued fractions, Finiteness and periodicity of continued fractions over quadratic number fields

Uses Software

• Magma
• PARI/GP
• LMFDB
• ecdata

Cites Work

• The Magma algebra system. I: The user language
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