Series expansions in \(p\)-adic and other non-archimedean fields

DOI10.1016/0022-314X(89)90086-3zbMath0683.10030MaRDI QIDQ1824654

Arnold Knopfmacher, John Knopfmacher

Publication date: 1989

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

zbMATH Keywords

degrees of approximation by partial sumsexpansions of \(p\)-adic numbers into seriessums of rational numbers

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Approximation in non-Archimedean valuations (11J61)

Related Items (4)

A division algorithm approach to \(p\)-adic Sylvester expansions ⋮ Infinite series expansions for \(p\)-adic numbers ⋮ Engel series and Cohen-Egyptian fraction expansions ⋮ The generalized oppenheim expansions for the direct product of non-Archimedean fields

Cites Work

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• Some metric properties of p-adic numbers
• The representation of real numbers by infinite series of rationals

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