K. Oganesyan

activity

20202026

most citedTwo-dimensional Hardy-Littlewood theorem for functions with general monotone Fourier coefficients

3 citations · 3 across the 8 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

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…