K. Oganesyan

collaborators

3 papers

math.NT2021

Lattice points on small arcs

Kristina Oganesyan

We show that for any $α \in (1/2, 1)$ the number of lattice points belonging to an arc of length $R^{α}$ of the circle of radius $R$ centered at the origin is not uniformly bounded in…

math.CA2021

John-Nirenberg inequality for Riemann type series

Kristina Oganesyan

We obtain an improvement of the John-Nirenberg inequality for the series of the form $\sum_{n = 1}^{\infty} n^{- 1} e^{2 π i n^{k} x}, k > 2,$ on intervals consisting of points of a same con…

math.CA2020

Uniform convergence criterion for non-harmonic sine series

Kristina Oganesyan

We show that for a nonnegative monotone sequence ${c_{k}}$ the condition $c_{k} k \to 0$ is sufficient for uniform convergence of the series $\sum_{k = 1}^{\infty} c_{k} sin k^{α} x$ on any b…