On solutions of the simultaneous Pell equations and x(2) - (a(2)-1) y(2)=1 and y(2) - pz(2)=1
Küçük Resim Yok
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
SPRINGER
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let be an integer and p prime number. It is well-known that the solutions of the Pell equation have recurrence relations. For the simultaneous Pell equations x(2) - (a(2) - 1) y(2) = 1 y(2) - pz(2) = 1 assume that and . In this paper, we show that if is an odd integer, then there is no positive solution to the system. Moreover, we find the solutions completely for in the cases when is even integer and m = 1.
Açıklama
Anahtar Kelimeler
Diophantine equation, Pell equation, Recurrence
Kaynak
Periodica Mathematica Hungarica
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
73
Sayı
1
