Browsing by Author "Bai, Hairong"

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    On the exponential diophantine equation (n-1)(x) + (n+2)(y) = n(z)
    (Ars Polona-Ruch, 2020-03-30) Bai, Hairong; Yuan, Pingzhi; Kızıldere, Elif; Soydan, Gökhan; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0002-6321-4132; 57204173004; 23566953200
    Suppose that n is a positive integer. We show that the only positive integer solutions (n, x, y, z) of the exponential Diophantine equation (n - 1)(x) + (n + 2)(y) = nz, n >= 2, xyz not equal 0, are (3, 2, 1, 2), (3,1, 2, 3). The main tools in the proofs are Baker's theory and Bilu-Hanrot-Voutier's result on primitive divisors of Lucas numbers.