The base points of indefinite quadratic forms in the cycle and proper cycle of an indefinite quadratic form
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Date
2007-12-06
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Hacettepe Üniversitesi
Abstract
Let F = (a, b, c) be an indefinite quadratic form of discriminant Delta > 0. In the first section, we give some preliminaries from binary quadratic forms. In the second section, we derive some results concerning the base points of indefinite quadratic forms in the cycle and proper cycle of F using the transformations tau(F) = (-a, b, -c), xi(F) = (c, b, a), chi(F) = (-c, b, -a), psi(F) = (-a, -b, -c), and the right neighbor R-i(F) of F for i >= 0.
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Keywords
Quadratic form, Base point, Indefinite form, Proper cycle, Cycle, Right neighbor
Citation
Tekcan, A. (2007). "The base points of indefinite quadratic forms in the cycle and proper cycle of an indefinite quadratic form". Hacettepe Matematik ve İstatistik Dergisi, 36(2), 101-114.