Mahler's polynomial approximation for odd and even \(p\)-adic functions

DOI10.1016/j.jnt.2014.05.021zbMath1303.13022OpenAlexW2085785380WikidataQ114157526 ScholiaQ114157526MaRDI QIDQ404360

Jean-Luc Chabert, Youssef Fares, Sabine Evrard

Publication date: 4 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.05.021

zbMATH Keywords

integer-valued polynomials\(v\)-orderingseven polynomialsodd polynomialsregular basesultrametric continuous functions

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Non-Archimedean function theory (30G06) Non-Archimedean valued fields (12J25) Valued fields (12J10)

Related Items (1)

Integer-valued polynomials on invariant sets under rotation

Cites Work

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• Limits of characteristic sequences of integer-valued polynomials on homogeneous sets
• On the ultrametric Stone-Weierstrass theorem and Mahler's expansion
• E-sequences and the Stone-Weierstrass theorem
• Regular subsets of valued fields and Bhargava's \(v\)-orderings
• The Factorial Function and Generalizations
• Integer-Valued Polynomials
• A correction to the paper An Interpolation Series for continuous functions of a p-adic variable.
• Une Caractérisation des Polynômes Prenant des Valeurs Entières Sur Tous les Nombres Premiers
• P-orderings and polynomial functions on arbitrary subsets of Dedekind rings.
• Subsets of ℤ with Simultaneous Orderings

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