C. Pohoata

activity

20072025

most citedHigher Distance Energies and Expanders with Structure

2 citations · 3 across the 9 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.CO2019

A remark on sets with few distances in $R^{d}$

Fedor Petrov, Cosmin Pohoata

A celebrated theorem due to Bannai-Bannai-Stanton says that if $A$ is a set of points in $R^{d}$ , which determines $s$ distinct distances, then $$|A| \leq {d+s \choose s}.…

math.CO2019

Sets without $k$ -term progressions can have many shorter progressions

Jacob Fox, Cosmin Pohoata

Let $f_{s, k} (n)$ be the maximum possible number of $s$ -term arithmetic progressions in a sequence $a_{1} < a_{2} < \dots < a_{n}$ of $n$ integers which contains no $k$ -term arithmetic progres…

math.CO2019

Expanding polynomials on sets with few products

Cosmin Pohoata

In this note, we prove that if $A$ is a finite set of real numbers such that $∣ AA ∣ = K ∣ A ∣$ , then for every polynomial $f \in R [x, y]$ we have that $|f(A,A)| = Ω_{K,\operato…

math.CO2019

Four-term progression free sets with three-term progressions in all large subsets

Cosmin Pohoata, Oliver Roche-Newton

This paper is mainly concerned with sets which do not contain four-term arithmetic progressions, but are still very rich in three term arithmetic progressions, in the sense that al…

A remark on sets with few distances in Rd

Sets without k-term progressions can have many shorter progressions

Expanding polynomials on sets with few products

Four-term progression free sets with three-term progressions in all large subsets

A remark on sets with few distances in $R^{d}$

Sets without $k$ -term progressions can have many shorter progressions