2 citations · 3 across the 3 of their papers we have counts for
5 papers
Expanding polynomials on sets with few products
Cosmin Pohoata
In this note, we prove that if is a finite set of real numbers such that , then for every polynomial we have that $|f(A,A)| = Ω_{K,\operato…
Higher Distance Energies and Expanders with Structure
Cosmin Pohoata, Adam Sheffer
We adapt the idea of higher moment energies, originally used in Additive Combinatorics, so that it would apply to problems in Discrete Geometry. This new approach leads to a variet…
A Polynomial Method Approach to Zero-Sum Subsets in
Cosmin Pohoata
In this paper we prove that every subset of meeting all lines passing through the origin has a zero-sum subset. This is motivated by a result of Gao, Ruzsa a…
Generalization of the Apollonius Circles
Cosmin Pohoata, Vladimir Zajic
The three Apollonius circles of a triangle, each passing through a triangle vertex, the corresponding vertex of the cevian triangle of the incenter and the corresponding vertex of…
Sharpness of the Finsler-Hadwiger inequality
Cezar Lupu, Cosmin Pohoata
In this paper we shall prove a sharpened version of the Finsler-Hadwiger inequality which is a strong generalization of Weitzenbock inequality. After that we give another refinemen…