2 citations · 5 across the 5 of their papers we have counts for
5 papers
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 in a classical combinatorial number theory…
Semialgebraic methods and generalized sum-product phenomena
Yifan Jing, Souktik Roy, Chieu-Minh Tran
For a bivariate , our first result shows that for all finite , $|P(A,A)|\geq α|A|^{5…
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 and of two variable polynomials that simultaneously exhibit s…
Small doublings in abelian groups of prime power torsion
Yifan Jing, Souktik Roy
Let be a subset of , where is a finite abelian group of torsion . It was conjectured by Ruzsa that if , then is contained in a coset of of siz…
Non-optimality of the Greedy Algorithm for subspace orderings in the method of alternating projections
Oscar Darwin, Aashraya Jha, Souktik Roy +3
The method of alternating projections involves projecting an element of a Hilbert space cyclically onto a collection of closed subspaces. It is known that the resulting sequence al…