Q911626
type: Item
instance of: scholarly article
title: Ein Beispiel positiv definiter quadratischer Formen der Dimension 4 mit gleichen Darstellungszahlen. (An example of positive definite quadratic forms of dimension 4 with the same representation numbers)
zbMATH Open document ID: 0697.10018
DOI: 10.1007/BF01189584
author: Alexander Schiemann
published in: Archiv der Mathematik
publication date: 1990-01-01T00:00:00Z
review text: The author explicitly writes down two inequivalent quaternary quadratic forms with discriminant 1729, which have the same representation numbers for all integers. Up to discriminant 3000 this is the only example of this type. An interpretation of the interesting phenomenon seems to be open.
Mathematics Subject Classification ID: 11E12
Mathematics Subject Classification ID: 11E45
Mathematics Subject Classification ID: 11E16
zbMATH DE Number: 4142117
zbMATH Keywords: theta-series
zbMATH Keywords: quaternary quadratic forms
zbMATH Keywords: representation numbers
reviewed by: Meinhard Peters
MaRDI profile type: Publication
cites work: Q5531596
cites work: Positive definite quadratic forms with the same representation numbers
cites work: Lineare Relationen zwischen Darstellungsanzahlen quadratischer Formen
cites work: Die Reduktionstheorie der positiven quadratischen Formen
label: Ein Beispiel positiv definiter quadratischer Formen der Dimension 4 mit gleichen Darstellungszahlen. (An example of positive definite quadratic forms of dimension 4 with the same representation numbers)
description: scientific article; zbMATH DE number 4142117