29 citations · 64 across the 45 of their papers we have counts for
5 papers · 1 filter
Incidences between planes over finite fields
Nguyen Duy Phuong, Thang Pham, Le Anh Vinh
We use methods from spectral graph theory to obtain bounds on the number of incidences between -planes and -planes in which generalize a recent result given…
Some combinatorial number theory problems over finite valuation rings
Pham Van Thang, Le Anh Vinh
Let be a finite valuation ring of order . In this paper we generalize and improve several well-known results, which were studied over finite fields $\mathbb{F}_q…
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…
Schwartz-Zippel bounds for two-dimensional products
Hossein Nassajian Mojarrad, Thang Pham, Claudiu Valculescu +1
We prove bounds on intersections of algebraic varieties in with Cartesian products of finite sets from , and we point out connections with several clas…
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…