D. Q. Nguyen

activity

20122021

most citedThe classical umbral calculus, and the flow of a Drinfeld module

3 citations · 8 across the 12 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.NT2015

Representation of units in cyclotomic function fields

Dong Quan Ngoc Nguyen

Hilbert's Satz 90 tells us that for a given cyclic extension $K / k$ , a unit of norm $1$ in $K$ can be written as a quotient of conjugate elements in $K$ . For the extensions $\mathbb…

math.NT2015

Certain sets over function fields are polynomial families

Dong Quan Ngoc Nguyen

In 1938, Skolem conjectured that $SL_{n} (Z)$ is not a polynomial family for any $n \geq 2$ . Carter and Keller disproved Skolem's conjecture for all $n \geq 3$ by prov…

math.NT2015

Function field analogues of Bang-Zsigmondy's theorem and Feit's theorem

Dong Quan Ngoc Nguyen

In the number field context, Bang-Zsigmondy's theorem states that for any integers $u, m > 1$ , there exists a prime divisor $p$ of $u^{m} - 1$ such that $p$ does not divide $u^{n} - 1$ …