Browsing Matematik / Mathematics by Author "Keskin, R; Karaatli, O; Siar, Z; Ogut, U;"

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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 ...