Integer-Valued Polynomials: Looking for Regular Bases (A Survey)

Jean-Luc Chabert ()
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Jean-Luc Chabert: Université de Picardie, LAMFA CNRS-UMR 7352

A chapter in Commutative Algebra, 2014, pp 83-111 from Springer

Abstract: Abstract This paper reviews recent results about the additive structure of algebras of integer-valued polynomials and, particularly, the question of the existence and the construction of regular bases. Doing this, we will be led to consider questions of combinatorial, arithmetical, algebraic, ultrametric, or dynamical nature.

Keywords: Integer-valued polynomials; Generalized factorials; v-Orderings; Kempner’s formula; Regular basis; Pólya fields; Divided differences; Mahler’s theorem; Primary 13F20; Secondary 11S05; 11R21; 11B65 (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0925-4_5

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DOI: 10.1007/978-1-4939-0925-4_5

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