Browsing WOS İndeksli Yayınlar Koleksiyonu / WOS Indexed Publications Collection by Subject "exponential Diophantine equation"

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ON PERFECT POWERS IN k-GENERALIZED PELL SEQUENCE

Siar, Zafer; Keskin, Refik; Oztas, Elif Segah (INST MATHEMATICS, AS CR, )

Let k 2 and let (P(k) n )n>2-k be the k-generalized Pell sequence defined byP(k) n = 2P(k) n-1 + P(kn-2) + ... + P(k) n-kfor n 2 with initial conditionsP(k) -(k-2)= P(k-(k) -3)= ... = P(k) -1 = P0(k) = 0, P(k) 1 = 1.In ...
On the Exponential Diophantine Equation (a(n)-2)(b(n)-2) = x(2)*

Siar, Z.; Keskin, R. (2022)

In this paper, we deal with the equation (a(n) - 2)(b(n) - 2) = x(2), 2 <= a < b, and a, b, x, n is an element of N. We solve this equation for (a, b) is an element of {(2, 10), (4, 100), (10, 58), (3, 45)}. Moreover, we ...