Browsing by Author "Berczes, Attila"

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    A note on the ternary diophantine equation x2 - y2m = zn
    (Ovidius Univ Press, 2021-01-01) Berczes, Attila; Le, Maohua; Pink, Istvan; Soydan, Gokhan; Soydan, Gokhan; Bursa Uludağ Üniversitesi/-Fen Edebiyat Fakültesi/Matematik Bölümü.; 0000-0002-6321-4132; M-9459-2017
    Let N be the set of all positive integers. In this paper, using some known results on various types of Diophantine equations, we solve a couple of special cases of the ternary equation x(2) - y(2m) = z(n), x, y, z, m, n is an element of N, gcd(x, y) = 1, m >= 2, n >= 3.