Review

Quadratic approximation for some badly rational approximable power series

Published in: Quaestiones Mathematicae
Volume 45 , issue 8 , 2022 , pages: 1181–1189

DOI: 10.2989/16073606.2021.1932636

Author(s): Khalil Ayadi , Tunisia , Awatef Azaza , Tunisia , Chiheb ben Bechir , Tunisia

Keywords: 11J82 , 11J61 , 11J70 , 11J82 , 11J61 , 11J70

Abstract

We explicitly compute the exponents of quadratic approximation of two algebraic elements over fields of power series with coeﬃcients in a finite field. We prove that they have well quadratic approximation although their rational approximation is bad.

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