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math.LO2019★ 2 cited
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…
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 and of two variable polynomials that simultaneously exhibit s…