Badly approximable numbers related to the Littlewood conjecture

Details Badly approximable numbers related to the Littlewood conjecture Badly approximable numbers related to the Littlewood conjecture

2008-10-04

arxiv.org/abs/0810.0777v1

Mathematics

Number Theory

5 pages

Scientific paper

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

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