N. Triantafillou

activity

20112022

most citedThe unit equation has no solutions in number fields of degree prime to

3

where

3

splits completely

5 citations · 11 across the 7 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.NT2020★ 2 cited

Restriction of Scalars Chabauty and the $S$ -unit equation

Nicholas Triantafillou

Given a smooth, proper, geometrically integral curve $X$ of genus $g$ with Jacobian $J$ over a number field $K$ , Chabauty's method is a $p$ -adic technique to bound $# X (K)$ when $…

math.NT2020★ 5 cited

The unit equation has no solutions in number fields of degree prime to $3$ where $3$ splits completely

Nicholas Triantafillou

Let $K$ be a number field with ring of integers $O_{K}$ . We prove that if $3$ does not divide $[K : Q]$ and $3$ splits completely in $K$ , then the unit equation has…

Restriction of Scalars Chabauty and the S-unit equation

The unit equation has no solutions in number fields of degree prime to 3 where 3 splits completely

Restriction of Scalars Chabauty and the $S$ -unit equation

The unit equation has no solutions in number fields of degree prime to $3$ where $3$ splits completely