Thang Pham

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20242026

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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.CO2025

Sets preserved by a large subgroup of the special linear group

Le Quang Hung, Thang Pham, Kaloyan Slavov

Let $E$ be a subset of the affine plane over a finite field $F_{q}$ . We bound the size of the subgroup of $S L_{2} (F_{q})$ that preserves $E$ . As a consequence, we show…