24 citations · 54 across the 9 of their papers we have counts for
9 papers
On Legendre criterium for convergents
N. G. Moshchevitin, A. Yu. Yashnikova
This is a brief historical note about famous Legendre's criterium for convergent of continued fraction expansion. The paper is written in Russian.
Khintchine's singular systems and their applications
Nikolay G. Moshchevitin
This paper is a survey of old and recent results related to Khintichine's singular matrices and their applications in the theory of Diophantine approximations. The paper is written…
Differentiability of the Minkowski question mark function
Anna A. Dushistova, Igor D. Kan, Nikolai G. Moshchevitin
We prove new results on the derivative of the Minkowski question mark function. Some of our theorems are non-improvable.
Density modulo 1 of sublacunary sequences: application of Peres-Schlag's arguments
Nikolai G. Moshchevitin
Let the sequence of reals satisfy the condition Then the set $ \{α\in [0,1]: \exists \varkappa >…
A version of the proof for Peres-Schlag's theorem on lacunary sequences
Nikolai G. Moshchevitin
We present a proof of a multidimensional version of Peres-Schlag's theorem on Diophantine approximations with lacunary sequences.
On the derivative of the Minkowski question mark function
Anna A. Dushistova, Nikolai G. Moshchevitin
Let be the decomposition of the irrational number into regular continued fraction. Then for the derivative of the Minkowski function we…