A factorization formula for class number two
type: Item
instance of: scholarly article
title: A factorization formula for class number two
zbMATH Open document ID: 0937.11053
author: Jeremy Herr
author: Natalie Rooney
author: Scott T. Chapman
published in: Journal of Number Theory
publication date: 2000-06-04T00:00:00Z
review text: The authors study the (additive) monoid \(X_n\), consisting of all \((x_1,\dots,x_{n+1}) \in \mathbb N_0^{n+1}\) such that \(x_1 + \dots + x_n = 2x_{n+1}\). It is a Krull monoid with class number \(2\) and \(n\) prime divisors in the non-principal class. A recursion formula for the number of essentially distinct factorizations of an element in \(X_n\) is derived.
reviewed by: Franz Halter-Koch
Mathematics Subject Classification ID: 11R29
Mathematics Subject Classification ID: 20M14
Mathematics Subject Classification ID: 11N80
zbMATH DE Number: 1389290
zbMATH Keywords: additive monoid
zbMATH Keywords: Krull monoid
zbMATH Keywords: class number
MaRDI profile type: Publication
full work available at URL: jnth.1999.2426
OpenAlex ID: W2056102605
cites work: Q4343531
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cites work: Factorization problems in class number two
cites work: On the asymptotic behaviour of the number of distinct factorizations into irreducibles
cites work: Q4000943
cites work: Number fields
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DOI: 10.1006/JNTH.1999.2426
description: scientific article; zbMATH DE number 1389290