Places of degree one in function fields over finite fields
type: Item
instance of: scholarly article
title: Places of degree one in function fields over finite fields
zbMATH Open document ID: 0723.11061
DOI: 10.1016/0022-4049(90)90041-F
author: Joseph Lewittes
published in: Journal of Pure and Applied Algebra
publication date: 1990-01-01T00:00:00Z
review text: Let R be a function field of genus g over the finite field with q elements. The author is interested in the number of places of R of degree one. In certain cases, for \(q=2,3,4\), he obtains a bound slightly better than the Weil bound. Also a new relation connecting the multiplicities of the places as zeros of the differentials of first kind is given.
Mathematics Subject Classification ID: 11R58
Mathematics Subject Classification ID: 11G20
Mathematics Subject Classification ID: 14H05
Mathematics Subject Classification ID: 94B27
zbMATH DE Number: 4191821
zbMATH Keywords: curves over finite fields
zbMATH Keywords: error-correction codes
zbMATH Keywords: function field
zbMATH Keywords: genus
reviewed by: Nikolai L. Manev
MaRDI profile type: Publication
cites work: Q5810622
cites work: Q3218060
cites work: Genus and gaps in function fields
cites work: Q3324075
cites work: Q3324076
description: scientific article; zbMATH DE number 4191821