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math.NT2015
Conditional expanding bounds for two-variable functions over finite valuation rings
Le Quang Ham, Thang Pham, Le Anh Vinh
In this paper, we use methods from spectral graph theory to obtain some results on the sum-product problem over finite valuation rings of order which generalize…
math.NT2015
A Szemerédi-Trotter type theorem, sum-product estimates in finite quasifields, and related results
Thang Pham, Michael Tait, Craig Timmons +1
We prove a Szemerédi-Trotter type theorem and a sum-product estimate in the setting of finite quasifields. These estimates generalize results of the fourth author, of Garaev, and o…