Diophantine Approximation for Certain
Algebraic Formal Power Series in Positive
Characteristic
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Published:2013-12-01
Issue:4
Volume:56
Page:673-683
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. math. bull.
Author:
Ayadi K.,Hbaib M.,Mahjoub F.
Abstract
Abstract.In this paper, we study rational approximations for certain algebraic power series over a finite field. We obtain results for irrational elements of strictly positive degree satisfying an equation of the typewhere (A, B, C) ∊ (𝔽q[X])2 × 𝔽*q [X]. In particular, under some conditions on the polynomials A, B and C, we will give well approximated elements satisfying this equation.
Publisher
Canadian Mathematical Society
Subject
General Mathematics