On the class numbers of the maximal real subfields of cyclotomic function fields. II
type: Item
instance of: scholarly article
title: On the class numbers of the maximal real subfields of cyclotomic function fields. II
zbMATH Open document ID: 1073.11524
author: Humio Ichimura
published in: Journal of Number Theory
publication date: 1998-01-01T00:00:00Z
review text: The author continues to study the class number of the maximal real subfields of cyclotomic function fields, building on the work done in Part I [Finite Fields Appl. 4, No. 2, 167--174 (1998; Zbl 0920.11075)]. With the notations of Part I he proves that there exist infinitely many irreducible monics \(\mathfrak P \in R=\mathbb{F}_q[T]\subset \mathbb{F}_q(T)=k,\) with \(p | h^{+}_{T}(\mathfrak P)\) under some assumptions on \(q\).
reviewed by: Olaf Ninnemann
Mathematics Subject Classification ID: 11R60
Mathematics Subject Classification ID: 11R29
zbMATH DE Number: 1229759
MaRDI profile type: Publication
full work available at URL: jnth.1998.2272
OpenAlex ID: W2087029961
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DOI: 10.1006/JNTH.1998.2272
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description: scientific article; zbMATH DE number 1229759