Browsing Fen-Edebiyat Fakültesi by Author "Ummugulsum Ogut"

Now showing items 1-1 of 1

On the determination of solutions of simultaneous Pell equations x(2) - (a(2)-1) y(2) = y(2) - pz(2)=1

Keskin, Refik; Karaatlı, Olcay; Zafer Siar; Ummugulsum Ogut (SPRINGER, 2017)

where p is prime and a > 1. Assuming the solutions of the Pell equation x(2) -(a(2) - 1) y(2) = 1 are x = x(m) and y = y(m) with m = 2, we prove that the system (0.1) has solutions only when m = 2 or m = 3. In the case of ...