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PARAMETRIC GEOMETRY OF NUMBERS IN FUNCTION FIELDS

Part of: Geometry of numbers Approximations and expansions Topological rings and modules Diophantine approximation, transcendental number theory

Published online by Cambridge University Press:  29 November 2017

Damien Roy  and
Michel Waldschmidt
Damien Roy
Affiliation:
Département de mathématiques et de statistique, Université d’Ottawa, 585, Avenue King Edward, Ottawa, Ontario, Canada K1N 6N5 email droy@uottawa.ca
Michel Waldschmidt
Affiliation:
Sorbonne Universités, UPMC Univ Paris 06, UMR 7586 IMJ-PRG, F - 75005 Paris, France email michel.waldschmidt@imj-prg.fr
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Abstract

We transpose the parametric geometry of numbers, recently created by Schmidt and Summerer, to fields of rational functions in one variable and analyze, in that context, the problem of simultaneous approximation to exponential functions.

MSC classification

Primary: 11J13: Simultaneous homogeneous approximation, linear forms
Secondary: 41A20: Approximation by rational functions 41A21: Padé approximation 13J05: Power series rings 11H06: Lattices and convex bodies

Information

Type
Research Article
Information
Mathematika , Volume 63 , Issue 3 , 2017 , pp. 1114 - 1135
Copyright
Copyright © University College London 2017 

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