2 papers
math.NT2014
On the Mixed Littlewood Conjecture and continued fractions in quadratic fields
Paloma Bengoechea, Evgeniy Zorin
We show how a recent result by Aka and Shapira on the evolution of continued fractions in a fixed quadratic field implies the classic result of de Mathan and Teullié on the Mixed L…
math.NT2010
Explicit bounds for rational points near planar curves and metric Diophantine approximation
Victor Beresnevich, Evgeniy Zorin
The primary goal of this paper is to complete the theory of metric Diophantine approximation initially developed in [Ann. of Math.(2) 166 (2007), p.367-426] for non-degenerat…