Proper cycles of indefinite quadratic forms and their right neighbors

Tekcan A.

APPLICATIONS OF MATHEMATICS, cilt.52, sa.5, ss.407-415, 2007 (SCI-Expanded) identifier identifier

  • 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).