Zero Order Estimates for Mahler Functions

New Zealand Journal of Mathematics (Online)

Michael Coons

关键词: Mahler functions;    rational approximation;    algebraic approximation.;   

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

We give an upper bound for the zero order of the difference between a Mahler function and an algebraic function. This complements estimates of Nesterenko, Nishioka, and Topfer, among others, who considered polynomials evaluated at Mahler functions.

【 授权许可】

Unknown