On certain Littlewood-like and Schmidt-like problems in inhomogeneous Diophantine approximations

Abstract

We give several results related to inhomogeneous approximations to two real numbers and badly approximable numbers. Our results are related to classical theorems by A. Khintchine (1926) and to an original method invented by Y. Peres and W. Schlag (2001).

18 pages

References in corpus (3)

• Badly approximable numbers and Littlewood-type problems
• A solution to a problem of Cassels and Diophantine properties of cubic numbers
• Schmidt's conjecture and Badziahin-Pollington-Velani's theorem