Article ID Journal Published Year Pages File Type
4593617 Journal of Number Theory 2015 10 Pages PDF
Abstract

In this paper we prove that there are exactly eight function fields, up to isomorphism, over finite fields with class number one and positive genus. This classification was already suggested, although not completely proved, in a previous work about this topic (see Stirpe [7]).

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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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Classification of algebraic function fields with class number one
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