A division algorithm approach to \(p\)-adic Sylvester expansions

DOI10.1016/j.jnt.2015.08.016zbMath1396.11012arXiv1508.01503OpenAlexW2964164998MaRDI QIDQ897524

Eric Errthum

Publication date: 7 December 2015

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

Full work available at URL: https://arxiv.org/abs/1508.01503

zbMATH Keywords

\(p\)-adic number\(p\)-adic division algorithmSylvester series expansion

Mathematics Subject Classification ID

Other number representations (11A67) Approximation in non-Archimedean valuations (11J61)

Related Items (3)

Continued fractions in the field of 𝑝-adic numbers ⋮ A new algorithm for 𝑝-adic continued fractions ⋮ On $p$-adic multidimensional continued fractions

Cites Work

• Infinite series expansions for \(p\)-adic numbers
• Series expansions in \(p\)-adic and other non-archimedean fields
• A characterization of rational numbers by p-adic Sylvester series expansions
• The representation of real numbers by infinite series of rationals
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