Thang Pham

works on

additive combinatorics 1 Erdős-Falconer distance 1 finite fields 1 Kloosterman sums 1 spherical restriction 1

From the 1 of 9 linked papers with an AI index.

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math.NT2026

Distribution of simplices in the discrete and continuous settings

Thang Pham, Chun-Yen Shen, Boqing Xue

In this paper, we study the distribution of simplices in both discrete and continuous settings. Let $q$ be an odd prime power, let $Q$ be a nondegenerate quadratic form on $\mathbb…

math.NT2026

On Erdos-Falconer distance problem in even dimensions

Thang Pham, Chun-Yen Shen, Boqing Xue

Let $q$ be an odd prime power and $F_{q}$ be the finite field of order $q$ . We prove an extraction theorem for the ErdÅs-Falconer distance conjecture in even dimensions, sh…

math.NT2025

On a theorem of Mattila in the p-adic setting

Boqing Xue, Thang Pham, Le Q. Hung +2

Let $A, B$ be subsets of $(Z / p^{r} Z)^{2}$ . In this note, we provide conditions on the densities of $A$ and $B$ such that $∣ g A - B ∣ ≫ p^{2 r}$ for a positive proportion…