Convergence conditions for \(p\)-adic continued fractions

DOI10.1007/s40993-023-00470-warXiv2202.09249MaRDI QIDQ6095449

Nadir Murru, Giordano Santilli, Giuliano Romeo

Publication date: 8 September 2023

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

Full work available at URL: https://arxiv.org/abs/2202.09249

zbMATH Keywords

continued fractionsconvergence conditions\(p\)-adic continued fractions

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55) Approximation in non-Archimedean valuations (11J61)

Related Items (2)

Convergence conditions for \(p\)-adic continued fractions ⋮ Continued fractions in the field of 𝑝-adic numbers

Cites Work

• Periodicity of \(p\)-adic continued fractions
• Periodicity of P-adic continued fraction expansions
• Note on \(p\)-adic continued fractions
• Transcendental \(p\)-adic continued fractions
• Continued fractions in local fields, II
• An effective criterion for periodicity of $\ell $-adic continued fractions
• Periodic representations for quadratic irrationals in the field of 𝑝-adic numbers
• Convergence conditions for \(p\)-adic continued fractions
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