Rational approximation with generalised $\alpha $-Lüroth expansions

Acta Arithmetica, vol. 215, pp. 327–353

Abstract

For a fixed partition $\alpha $, each real number $x \in (0,1)$ can be represented by many different generalised $\alpha $-Lüroth expansions. Each such expansion produces a sequence $(p_n/q_n)_{n \ge 1}$ of rational approximations to $x$. We study the cor

Authors 2

1. Yan Huang Aachen

   Leiden University · Chongqing University

   Affiliation as printed

   College of Mathematics and Statistics Chongqing University 401331, Chongqing, P.R. China and Mathematisch Instituut Leiden University 2333CA Leiden, The Netherlands

2. Charlene Kalle Aachen

   Leiden University

   Affiliation as printed

   Mathematisch Instituut Leiden University 2333CA Leiden, The Netherlands