THE BASE POINTS OF INDEFINITE QUADRATIC FORMS IN THE CYCLE AND PROPER CYCLE OF AN INDEFINITE QUADRATIC FORM

Tekcan A.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.36, no.2, pp.101-114, 2007 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 2
  • Publication Date: 2007
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), TR DİZİN (ULAKBİM)
  • Page Numbers: pp.101-114
  • Bursa Uludag University Affiliated: Yes

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.