On Katz's bound for number of elements with given trace and norm
Number Theory
2008-02-22 v1 Algebraic Geometry
Abstract
In this note an improvement of the Katz's bound on the number of elements in a finite field with given trace and norm is given. The improvement is obtained by reducing the problem to estimating the number of rational points on certain toric Calabi-Yau hypersurface, and then to use detailed cohomological calculations by Rojas-Leon and the second author for such toric hypersurfaces.
Keywords
Cite
@article{arxiv.0802.3200,
title = {On Katz's bound for number of elements with given trace and norm},
author = {Marko Moisio and Daqing Wan},
journal= {arXiv preprint arXiv:0802.3200},
year = {2008}
}
Comments
5 pages