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math.CO2025
On the shatter function of semilinear set systems
Abdul Basit, Chieu-Minh Tran
We show that the shatter function of a semilinear set system on is asymptotic to a polynomial. This confirms, for the structure , a conjecture of…
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…