Approximation exponents for algebraic functions in positive characteristic

Bernard de Mathan

ArticleOriginal scientific text

Title

Approximation exponents for algebraic functions in positive characteristic

Authors ¹

Affiliations

Université de Bordeaux 1, Mathématiques (and U.A. C.N.R.S. 226), 351 Cours de la Libération, F-33405 Talence Cedex, France

Abstract

In this paper, we study rational approximations for algebraic functions in characteristic p > 0. We obtain results for elements satisfying an equation of the type

α = \frac{A α^{q} + B}{C α^{q} + D}

, where q is a power of p.

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Title

Approximation exponents for algebraic functions in positive characteristic

Affiliations

Abstract

Bibliography