19 citations · 62 across the 38 of their papers we have counts for
47 papers
On eutactic forms
Nikolay Moshchevitin
We prove two new results about the number of classes of positive definite eutactic forms in n variables.
On the number of perfect positive definite quadratic forms
Nikolay Moshchevitin
We prove a new asymptotic lower bound for the number of perfect positive definite quadratic forms in n variables which is close to the optimal one.
Best approximation vectors for completely irrational subspaces
Nikolay Moshchevitin
We give an easy optimal bound for the dimension of the subspaces generated by the best Diophantine approximations.
On Furstenberg's Diophantine result
Dmitry Gayfulin, Nikolay Moshchevitin
We give a very simple and explicit exposition of the effective results on by Bourgain, Lindenstrauss, Michel and Venkatesh.
On Korobov bound concerning Zaremba's conjecture
Nikolay Moshchevitin, Brendan Murphy, Ilya Shkredov
We prove in particular that for any sufficiently large prime there is such that all partial quotients of are bounded by . For composite…
On geometry of simultaneous approximation to three real numbers
Antoine Marnat, Nikolay Moshchevitin
Considering simultaneous approximation to three numbers, we study the geometry of the sequence of best approximations. We provide a sharper lower bound for the ratio between ordina…