Linear relations of theta series of genera of quadratic forms
type: Item
instance of: scholarly article
title: Linear relations of theta series of genera of quadratic forms
zbMATH Open document ID: 1167.11015
author: N. E. Zubov
published in: Journal of Mathematical Analysis and Applications
publication date: 2006-12-07T00:00:00Z
review text: This paper generalizes previous work of the authors [Acta Arith. 116, No. 4, 387--398 (2005; Zbl 1143.11312)] from ternary forms to \(n\)-ary forms for odd \(n\geq 5\). Here the authors study linear relations among theta series of genera of positive definite \(n\)-ary quadratic forms with given level \(D\), \(2D\), \(4D\) and \(8D\) for square free \(D\). They obtain a basis for the space generated by genus theta series. This forms a basis of Eisenstein space.
Mathematics Subject Classification ID: 11E45
Mathematics Subject Classification ID: 11F27
Mathematics Subject Classification ID: 11F37
zbMATH DE Number: 5078901
zbMATH Keywords: genus
zbMATH Keywords: theta series
zbMATH Keywords: Eisenstein space
reviewed by: Olaf Ninnemann
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.02.070
OpenAlex ID: W2045356630
cites work: Linear relations among theta series of genera of ternary forms
cites work: Levels of positive definite ternary quadratic forms
cites work: Q5675787
cites work: On modular forms of half integral weight
DOI: 10.1016/J.JMAA.2006.02.070
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description: scientific article; zbMATH DE number 5078901