On the some non extandable regular P-2 sets
Malaysian Journal of Mathematical Sciences, cilt.12, sa.2, ss.255-266, 2018 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 12 Sayı: 2
- Basım Tarihi: 2018
- Dergi Adı: Malaysian Journal of Mathematical Sciences
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.255-266
- Anahtar Kelimeler: Congruences, Fundamental solutions, Legendre/Jacobi Symbol, Pk-Sets, Pell equations, Residue classes
- Kırklareli Üniversitesi Adresli: Evet
Özet
Diophantine 3-tuples with property Pk, fork an integer, are sets of n positive integers such that product of any two of them by addingk is a square. In the present paper, we consider some regular Pk- triples and prove that they can not be extendible to Diophantine quadruple when k = -2 by using fundamental solution of Pell equations. Also, we determine several significant properties about such sets.