Zeta functions of quadratic Artin–Schreier curves in characteristic two
Volume 207 / 2023
Acta Arithmetica 207 (2023), 39-56
MSC: Primary 11R59; Secondary 11M38, 14G15.
DOI: 10.4064/aa220303-17-12
Published online: 1 February 2023
Abstract
The aim of this paper is twofold: on the one hand, we study the invariants of traces of quadratic forms over a finite field of characteristic $2$. On the other hand, we give results about the zeta functions of certain curves studied by van der Geer and van der Vlugt.
