Samir Siksek

collaborators

2 papers

math.NT2026

On the unit equation $ε + I^´ = n$ in cubic fields

Maleeha Khawaja, Samir Siksek

Let $n$ be an integer not equal to $- 2$ , $0$ or $2$ . We consider the unit equation $ε + I^´ = n$ in units $ε, I^´$ of cubic fields. We show that this equation has…

math.NT2025

New Algebraic Points on Curves

Maleeha Khawaja, Samir Siksek

Let $C$ be a smooth projective absolutely irreducible curve of genus at least 2, defined over the rationals. For a number field $L$ , we define the set of $L$ -new points on $C$ to b…

On the unit equation ε+I^´=n in cubic fields

New Algebraic Points on Curves

On the unit equation $ε + I^´ = n$ in cubic fields