3 papers
math.NT2026
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…
math.CA2024
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 con…
math.CO2024
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…