Proper cycles of indefinite quadratic forms and their right neighbors
APPLICATIONS OF MATHEMATICS, cilt.52, sa.5, ss.407-415, 2007 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 52 Sayı: 5
- Basım Tarihi: 2007
- Doi Numarası: 10.1007/s10492-007-0023-4
- Dergi Adı: APPLICATIONS OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.407-415
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
In this paper we consider proper cycles of indefinite integral quadratic forms F = (a, b, c) with discriminant A. We prove that the proper cycles of F can be obtained using their consecutive right neighbors R-i(F) for i >= 0. We also derive explicit relations in the cycle and proper cycle of F when the length I of the cycle of F is odd, using the transformations tau(F) = (-a, b, -c) and chi(F) = (-c, b, -a).