3 papers
math.NT2015
Oscillation of irrational measure function in the multidimensional case
Denis Shatskov
We proved that difference function for almost all pairs , in cases , or and changes its sign infinity many times as $t\rightarro…
math.NT2013
On two-dimensional Dirichlet spectrum
Renat Akhunzhanov, Denis Shatskov
We define two-dimensional Dirichlet spectrum (with respect to Euclidean norm) as D_2=λ\in\mathbf{R} | \exists \mathbf{v}=(v_1,v_2)\in \mathbf {R}^2: \limsup\limits_{t\rightarrow\in…
math.NT2012
On the irrationality measure function in average
Denis Shatskov
We study asymptotics for the intergal of irrationality measure functions.