Zeta functions of quadratic Artin–Schreier curves in characteristic two

DOI10.4064/aa220303-17-12arXiv2112.02860OpenAlexW4200633314MaRDI QIDQ6160453

Unnamed Author, Régis Blache

Publication date: 10 May 2023

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.02860

zbMATH Keywords

zeta functions of curvesquadratic forms and exponential sums over finite fields

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Zeta and (L)-functions in characteristic (p) (11M38) Zeta functions and (L)-functions of function fields (11R59)

Cites Work

• Unnamed Item
• Unnamed Item
• Gold and Kasami-Welch functions, quadratic forms, and bent functions
• Quadratic forms of codimension 2 over finite fields containing \(\mathbb F_4\) and Artin-Schreier type curves
• Some Artin-Schreier type function fields over finite fields with prescribed genus and number of rational places
• Invariants of trace forms over finite fields of characteristic 2
• On the zeta functions of supersingular curves
• Explicit evaluation of certain exponential sums of binary quadratic functions
• Arithmetical properties of generalized Ramanujan sums
• On the Existence of Supersingular Curves of Given Genus

This page was built for publication: Zeta functions of quadratic Artin–Schreier curves in characteristic two