Spinor regular positive ternary quadratic forms

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6 Citations (Scopus)

Abstract

Refining the notion of regularity introduced by Dickson, an integral quadratic form is said to be spinor regular if it represents all integers represented by its spinor genus. Examples of positive definite primitive integral ternary quadratic forms which have this property are presented, and it is proved that there exist only finitely many equivalence classes containing such forms.

Original languageEnglish
Pages (from-to)1-10
Number of pages10
JournalJournal of the London Mathematical Society
Volumes2-42
Issue number1
DOIs
StatePublished - 1 Jan 1990

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Spinor
Ternary
Quadratic form
Equivalence class
Positive definite
Genus
Regularity
Integer
Form

Cite this

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title = "Spinor regular positive ternary quadratic forms",
abstract = "Refining the notion of regularity introduced by Dickson, an integral quadratic form is said to be spinor regular if it represents all integers represented by its spinor genus. Examples of positive definite primitive integral ternary quadratic forms which have this property are presented, and it is proved that there exist only finitely many equivalence classes containing such forms.",
author = "James Benham",
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Spinor regular positive ternary quadratic forms. / Benham, James.

In: Journal of the London Mathematical Society, Vol. s2-42, No. 1, 01.01.1990, p. 1-10.

Research output: Contribution to journalArticleResearchpeer-review

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