On the reduction of binary quadratic forms


Creative Commons License

ZEYTİN A.

PUBLICATIONES MATHEMATICAE-DEBRECEN, cilt.89, ss.203-221, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 89
  • Basım Tarihi: 2016
  • Doi Numarası: 10.5486/pmd.2016.7470
  • Dergi Adı: PUBLICATIONES MATHEMATICAE-DEBRECEN
  • Sayfa Sayıları: ss.203-221

Özet

We give an interpretation of the reduction algorithm of Gauss in terms of carks, which are certain types of infinite ribbon graphs (or infinite dessins). We then describe an alternative reduction which is slightly faster than Gauss'. We also solve the minimal value problem and describe an algorithmic solution to the representation problem of indefinite binary quadratic forms.