paper

Badly approximable numbers related to the Littlewood conjecture

arXiv:0810.0777

Abstract

By means of Peres-Schlag's method we prove the existence of real numbers such that $$ \liminf_{q\to \infty} (q\log^2 q)||αq|| ||βq|| > 0.

5 pages

Badly approximable numbers related to the Littlewood conjecture · wovepaper