D. H. Pham

collaborators

3 papers

math.NT2021

$p$ -adic non-commutative analytic subgroup theorem

Duc Hiep Pham

In this paper, we formulate and prove the so-called $p$ -adic non-commutative analytic subgroup theorem. This result is seen as the $p$ -adic analogue of a recent theorem given by Ya…

math.CO2021

On the two-parameter Erdős-Falconer distance problem over finite fields

Clément Francois, Hossein Nassajian Mojarrad, Duc Hiep Pham +1

Given $E \subseteq F_{q}^{d} \times F_{q}^{d}$ , with the finite field $F_{q}$ of order $q$ and the integer $d \geq 2$ , we define the two-parameter distance set as $…

math.NT2020

A note on sum-product estimates over finite valuation rings

Duc Hiep Pham

Let $R$ be a finite valuation ring of order $q^{r}$ with $q$ a power of an odd prime number, and $A$ be a set in $R$ . In this paper, we improve a recent re…

p-adic non-commutative analytic subgroup theorem

On the two-parameter Erdős-Falconer distance problem over finite fields

A note on sum-product estimates over finite valuation rings

$p$ -adic non-commutative analytic subgroup theorem