4 papers
Inhomogeneous Diophantine Approximation on -sets with restricted denominators
Andrew D. Pollington, Sanju Velani, Agamemnon Zafeiropoulos +1
Let be a set that supports a probability measure with the property that for some constant . Let $\mathcal{A}=…
Diophantine approximation on curves and the distribution of rational points: divergence theory
V. Beresnevich, R. C. Vaughan, S. Velani +1
In this paper we develop a new explicit method to studying rational points near manifolds and obtain optimal lower bounds on the number of rational points of bounded height lying a…
On irrationality measure of Thue-Morse constant
Dzmitry Badziahin, Evgeniy Zorin
We provide a non-trivial measure of irrationality for a class of Mahler numbers defined with infinite products which cover the Thue-Morse constant.
Diophantine Approximation and applications in Interference Alignment
Faustin Adiceam, Victor Beresnevich, Jason Levesley +2
This paper is motivated by recent applications of Diophantine approximation in electronics, in particular, in the rapidly developing area of Interference Alignment. Some remarkable…