3 citations · 3 across the 8 of their papers we have counts for
9 papers
Upper and lower estimates for integer complexity
Sergei Konyagin, Kristina Oganesyan
Let stand for the integer complexity of the number , i.e. for the least number of 's needed to write using arbitrary many additions, multiplications, and parenthe…
Quadratic spectral concentration of characteristic functions
Kristina Oganesyan
It is known that the inequality \begin{align*}\int_{-W/2}^{W/2}|\widehat{f}(ξ)|^2dξ\leq \int_{-W/2}^{W/2}|\widehat{|f|^*}(ξ)|^2dξ\end{align*} between the quadratic spectral concent…
Univalence of -symmetric Suffridge type polynomials of degree
Kristina Oganesyan
We show the univalence of -symmetric Suffridge type polynomials in the unit disk, confirming thereby the conjecture proposed by Dmitrishin, Gray, and Stokolos in the…
Bounds for the number of multidimensional partitions
Kristina Oganesyan
We obtain estimates for the number of -dimensional integer partitions of a number . It is known that the two-sided inequality $C_1(d)n^{1-1/d}<\log p_d(n)< C_2(d…
Cosine polynomials with restrictions on their algebraic representation
Kristina Oganesyan
We prove that for any even algebraic polynomial one can find a cosine polynomial with an arbitrary small -norm of coefficients such that the first coefficients of its repr…
Two-dimensional Hardy-Littlewood theorem for functions with general monotone Fourier coefficients
Kristina Oganesyan
We prove the Hardy-Littlewood theorem in two dimensions for functions whose Fourier coefficients obey general monotonicity conditions and, importantly, are not necessarily positive…
Lattice points on small arcs
Kristina Oganesyan
We show that for any the number of lattice points belonging to an arc of length of the circle of radius centered at the origin is not uniformly bounded in…
John-Nirenberg inequality for Riemann type series
Kristina Oganesyan
We obtain an improvement of the John-Nirenberg inequality for the series of the form on intervals consisting of points of a same con…
Uniform convergence criterion for non-harmonic sine series
Kristina Oganesyan
We show that for a nonnegative monotone sequence the condition is sufficient for uniform convergence of the series on any b…