Showing math.COShow all
3 papers · 1 filter
math.CO2026
On polynomial expanders with many variables
M. Z. Garaev, S. V. Konyagin
For a fixed integer we consider the homogeneous polynomial We prove that, for any fin…
math.CO2024
On Distinct Angles in the Plane
Sergei V. Konyagin, Jonathan Passant, Misha Rudnev
We prove that if points lie in convex position in the plane then they determine distinct angles, provided that the points do not lie on a common circle. This is de…
math.CO2012
New sum product type estimates
Sergei V. Konyagin, Misha Rudnev
New lower bounds involving sum, difference, product, and ratio sets for a set $A\subset \C$ are given. The estimates involving the sum set match, up to constants, the one obtained…