Souktik Roy

collaborators

3 papers

math.CO2021

An upper bound on the size of Sidon sets

József Balogh, Zoltán Füredi, Souktik Roy

In this entry point into the subject, combining two elementary proofs, we decrease the gap between the upper and lower bounds by $0.2%$ in a classical combinatorial number theory…

math.CO2019

Expanding Polynomials and Pairs of Polynomials in Characteristic 0

Yifan Jing, Souktik Roy, Chieu-Minh Tran

We begin a generalized study of sum-product type phenomenon in different fields by considering pairs $P (x, y)$ and $Q (x, y)$ of two variable polynomials that simultaneously exhibit s…

math.CO2019

Small doublings in abelian groups of prime power torsion

Yifan Jing, Souktik Roy

Let $A$ be a subset of $G$ , where $G$ is a finite abelian group of torsion $r$ . It was conjectured by Ruzsa that if $∣ A + A ∣ \leq K ∣ A ∣$ , then $A$ is contained in a coset of $G$ of siz…