20 citations · 77 across the 11 of their papers we have counts for
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math.NT2021
A note on Dirichlet spectrum
Renat K. Akhunzhanov, Nikolay G. Moshchevitin
We prove a result related to Dirichlet spectrum for simultaneous approximation to two real numbers in Euclidean norm and badly or very well approximability.
math.NT2020
On badly approximable numbers
Renat Akhunzhanov, Nikolay Moshchevitin
Motivated by a wonderful paper by Ngoc Ai Van Nguyen, Anthony Poëls and Damien Roy, where a powerful method was introduced, we prove a criterion for a vector $\pmbα\in \mathbb{R}^d…
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…