On the splitting rate of a tower of Artin-Schreier type

vol.44 issue173

The arithmetic of Coxeter permutahedra

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Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales

Print version ISSN 0370-3908

Abstract

NAVARRO, Horacio. On the splitting rate of a tower of Artin-Schreier type. Rev. acad. colomb. cienc. exact. fis. nat. [online]. 2020, vol.44, n.173, pp.1167-1173. Epub July 08, 2021. ISSN 0370-3908. https://doi.org/10.18257/raccefyn.1140.

In this note we study the asymptotic behavior of the number of rational places in a tower of function fields of Artin-Schreier type over a finite field with 2 s elements, where s > 0 is an odd integer.

Keywords : Towers of function fields; Splitting rate; Asymptotic behaviour; Number of rational places.

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