On Katz's bound for the number of elements with given trace and norm

DOI10.1515/CRELLE.2010.002zbMath1269.11122arXiv0802.3200OpenAlexW2001414143MaRDI QIDQ3404379

Daqing Wan, Marko J. Moisio

Publication date: 9 February 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.3200

zbMATH Keywords

cohomological calculationsimprovement of Katz's boundnumber of elements in a finite field with given trace and normnumber of rational points on certain toric Calabi-Yau hypersurfaces

Mathematics Subject Classification ID

Other character sums and Gauss sums (11T24) Estimates on character sums (11L40) Varieties over finite and local fields (11G25)

Related Items (5)

On the number of roots of some linearized polynomials ⋮ Codes associated with special linear groups and power moments of multi-dimensional Kloosterman sums ⋮ On enumeration of irreducible polynomials and related objects over a finite field with respect to their trace and norm ⋮ Primitive cubics and quartics with zero trace and prescribed norm ⋮ Frobenius nonclassical components of curves with separated variables

Cites Work

• Kloosterman sums, elliptic curves, and irreducible polynomials with prescribed trace and norm
• Primitive free cubics with specified norm and trace

This page was built for publication: On Katz's bound for the number of elements with given trace and norm