• Subspace Lang conjecture and some remarks on a transcendental criterion

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/128/03/0030

• # Keywords

$b$-Ary expansion; transcendental numbers; subspace theorem; Lang’s conjecture

• # Abstract

Let $b \geq 2$ be an integer and $\alpha$ is a non-zero real number written in $b$-ary expansion. Adamczewski et al. (C. R. Acad. Sci. Paris 339 (2004) 11–14) provided a criterion for an irrational number to be a transcendental number using $b$-ary expansion. In this paper, we make some remarks on this criterion and, under the assumption of Subspace Lang Conjecture, we extend this criterion for a much wider class of irrational numbers.

• # Author Affiliations

1. Harish-Chandra Research Institute (HBNI), Chhatanag Road, Jhunsi, Allahabad 211 019, India

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019