Badly approximable numbers related to the Littlewood conjecture
classification
🧮 math.NT
keywords
alphabetanumbersapproximablebadlyconjectureexistenceinfty
read the original abstract
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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.