Browsing by Author "Togbe, Alain"

Filter results by typing the first few letters
Now showing 1 - 2 of 2
  • No Thumbnail Available
    Publication
    On the conjecture of jesmanowicz
    (Centre Environment Social & Economic Research Publ-ceser, 2017-01-01) Togbe, Alain; Cangül, İsmail Naci; CANGÜL, İSMAİL NACİ; Soydan, Gokhan; SOYDAN, GÖKHAN; Demirci, Musa; DEMİRCİ, MUSA; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.; 0000-0002-0700-5774; 0000-0002-5882-936X; J-3505-2017; A-6557-2018; ABA-6206-2020; M-9459-2017
    We give a survey on some results covering the last 60 years concerning Jesmanowicz' conjecture. Moreover, we conclude the survey with a new result by showing that the special Diophantine equation(20k)(x) + (99k)(y) = (101k)(z)has no solution other than (x, y, z) = (2, 2, 2).
  • No Thumbnail Available
    Publication
    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.