Souktik Roy

activity

20172021

most citedAn upper bound on the size of Sidon sets

2 citations · 5 across the 5 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.LO2019★ 2 cited

Semialgebraic methods and generalized sum-product phenomena

Yifan Jing, Souktik Roy, Chieu-Minh Tran

For a bivariate $P (x, y) \in R [x, y] ∖ (R [x] \cup R [y])$ , our first result shows that for all finite $A \subseteq R$ , $|P(A,A)|\geq α|A|^{5…

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…