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arXiv · 0802.3200

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

Marko Moisio·Daqing Wan
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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.

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Marko Moisio, Daqing Wan. 2008-02-21. On Katz's bound for number of elements with given trace and norm. https://arxiv.org/abs/0802.3200

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