Finiteness of real quadratic fields which admit positive integral diagonal septanary universal forms
type: Item
instance of: scholarly article
title: Finiteness of real quadratic fields which admit positive integral diagonal septanary universal forms
zbMATH Open document ID: 0961.11016
author: Byeong Moon Kim
published in: Manuscripta Mathematica
publication date: 2001-04-26T00:00:00Z
review text: In his thesis (Seoul National Univ., 1997) the author has shown that there exist infinitely many real quadratic fields which admit diagonal position universal forms of rank 8. In the paper under review it is shown that there are only finitely many real quadratic fields which admit diagonal positive universal forms of rank 7.
Mathematics Subject Classification ID: 11E12
Mathematics Subject Classification ID: 11E20
Mathematics Subject Classification ID: 11E25
zbMATH DE Number: 1334550
zbMATH Keywords: quadratic forms
zbMATH Keywords: real quadratic fields
zbMATH Keywords: diagonal position universal forms
reviewed by: Meinhard Peters
MaRDI profile type: Publication
full work available at URL: s002290050168
OpenAlex ID: W2070283463
DOI: 10.1007/S002290050168
description: scientific article; zbMATH DE number 1334550