D. H. Pham

activity

20142021

most citedCommutative algebraic groups and

p

-adic linear forms

2 citations · 3 across the 6 of their papers we have counts for

collaborators

7 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…

math.CO2016

An improvement on the number of simplices in $F_{q}^{d}$

Thang Pham, Duc Hiep Pham, Anh Vinh Le

Let $E$ be a set of points in $F_{q}^{d}$ . Bennett, Hart, Iosevich, Pakianathan, and Rudnev (2016) proved that if $∣ E ∣ ≫ q^{d - \frac{d - 1}{k + 1}}$ then $\mat…

math.NT2015★ 1 cited

The $p$ -adic analytic subgroup theorem revisited

Clemens Fuchs, Duc Hiep Pham

It is well-known that the Wüstholz' analytic subgroup theorem is one of the most powerful theorems in transcendence theory. The theorem gives in a very systematic and conceptual wa…

math.NT2014

Some applications of the $p$ -adic analytic subgroup theorem

Clemens Fuchs, Duc Hiep Pham

We use a $p$ -adic analogue of the analytic subgroup theorem of Wüstholz to deduce the transcendence and linear independence of some new classes of $p$ -adic numbers. In particular w…

math.NT2014★ 2 cited

Commutative algebraic groups and $p$ -adic linear forms

Clemens Fuchs, Duc Hiep Pham

Let $G$ be a commutative algebraic group defined over a number field $K$ that is disjoint over $K$ to $G_{a}$ and satisfies the condition of semistability. Consider a linear…

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

An improvement on the number of simplices in Fqd​

The p-adic analytic subgroup theorem revisited

Some applications of the p-adic analytic subgroup theorem

Commutative algebraic groups and p-adic linear forms

$p$ -adic non-commutative analytic subgroup theorem

An improvement on the number of simplices in $F_{q}^{d}$

The $p$ -adic analytic subgroup theorem revisited

Some applications of the $p$ -adic analytic subgroup theorem

Commutative algebraic groups and $p$ -adic linear forms