Images of additive polynomials in double-struck F signq((t)) have the optimal approximation property

Lou van den Dries, Franz Viktor Kuhlmann

Research output: Contribution to journalArticle

Abstract

We show that the set of values of an additive polynomial in several variables with arguments in a formal Laurent series field over a finite field has the optimal approximation property: every element in the field has a (not necessarily unique) closest approximation in this set of values. The approximation is with respect to the canonical valuation on the field. This property is elementary in the language of valued rings.

Original languageEnglish (US)
Pages (from-to)71-79
Number of pages9
JournalCanadian Mathematical Bulletin
Volume45
Issue number1
DOIs
StatePublished - Mar 2002

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Optimal Approximation
Approximation Property
Polynomial
Laurent Series
Several Variables
Approximation
Valuation
Galois field
Ring

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Images of additive polynomials in double-struck F signq((t)) have the optimal approximation property. / van den Dries, Lou; Kuhlmann, Franz Viktor.

In: Canadian Mathematical Bulletin, Vol. 45, No. 1, 03.2002, p. 71-79.

Research output: Contribution to journalArticle

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