Theta series of ternary quadratic forms
type: Item
instance of: scholarly article
title: Theta series of ternary quadratic forms
zbMATH Open document ID: 0605.10013
DOI: 10.1016/0022-314X(87)90091-6
author: D. C. Hung
published in: Journal of Number Theory
publication date: 1987-01-01T00:00:00Z
review text: Using arithmetic methods introduced by \textit{J. S. Hsia} and himself [Invent. Math. 73, 151--156 (1983; Zbl 0513.10021)], the author establishes linear independence of theta series of ternary quadratic forms in two cases: 1) for even positive definite ternary forms over \(\mathbb{Z}\) of discriminant \(2p^2\) which have a nontrivial automorphism group, where \(p\neq 2\); 2) for even positive ternary forms over \(\mathbb{Z}[(1+\sqrt{p})/2]\) of discriminant 2, that represent 2, where \(p\equiv 5 \bmod 8\).
Mathematics Subject Classification ID: 11E12
Mathematics Subject Classification ID: 11E45
Mathematics Subject Classification ID: 11E16
Mathematics Subject Classification ID: 11F27
zbMATH DE Number: 3977086
zbMATH Keywords: linear independence of theta series
zbMATH Keywords: ternary quadratic forms
reviewed by: Meinhard Peters
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3977086