L. Ham

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20152026

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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…

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 $R$ of order $q^{r}$ which generalize…