Browsing by Author "Zhu, Huilin"

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    On the exponential diophantine equation x 2+2a pb = yn
    (Springer, 2015-06-01) Zhu, Huilin; Le, Maohua; Soydan, Gökhan; Togbe, Alain; SOYDAN, GÖKHAN; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-6321-4132; M-9459-2017
    Let be an odd prime. In this paper we study the integer solutions(x, y, n, a, b) of the equation x(2) + 2(a) p(b) = y(n), x >= 1, y > 1, gcd(x, y) = 1, a >= 0, b >= 0, n >= 3.
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    Publication
    On the number of solutions of the diophantine equation x2+2a . p b = y4
    (Editura Acad Romane, 2015-01-01) Zhu, Huilin; Le, Maohua; Soydan, Gökhan; SOYDAN, GÖKHAN; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-6321-4132; M-9459-2017
    Let p be a fixed odd prime. In this paper, we study the integer solutions (x, y, a, b) of the equation x(2) + 2(a).p(b) = y(4), gcd(x, y) = 1, x > 0, y > 0, a >= 0, b >= 0, and we derive upper bounds for the number of such solutions.