Spinor regular positive ternary quadratic forms

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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
Publication statusPublished - 1 Jan 1990

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