Rabia Gulcsah Uysal

collaborators

2 papers

math.NT2025

Maximal curves of genus 5 over finite fields

Leolin Nkuete, Antigona Pajaziti, Hamide Suluyer +1

A maximal curve over a finite field $F_{q}$ is a curve whose number of points reaches the upper Hasse-Weil-Serre bound. We define the discriminant of $F_{q}$ as $d(\mat…

math.NT2020

The Hasse Norm Principle in Global Function Fields

Adelina Mânzăţeanu, Rachel Newton, Ekin Ozman +2

Let $L$ be a finite extension of $F_{q} (t)$ . We calculate the proportion of polynomials of degree $d$ in $F_{q} [t]$ that are everywhere locally norms from $L/\mathbb{…