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Spinor Regular Positive Ternary Quadratic Forms
Author(s) -
Benham J. W.,
Earnest A. G.,
Hsia J. S.,
Hung D. C.
Publication year - 1990
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-42.1.1
Subject(s) - spinor , ternary operation , mathematics , equivalence (formal languages) , quadratic equation , pure mathematics , quadratic form (statistics) , property (philosophy) , combinatorics , mathematical physics , computer science , geometry , programming language , philosophy , epistemology
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.