Browsing by Author "le, Maohua"

Filter results by typing the first few letters
Now showing 1 - 1 of 1
  • No Thumbnail Available
    Publication
    A note on the ternary purely exponential diophantine equation A x + Y = C z with A plus B = C 2
    (Akademiai Kiado Zrt, 2020-06-01) Kızıldere, Elif; le, Maohua; Soydan, Gökhan; Kızıldere, Elif; SOYDAN, GÖKHAN; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-6321-4132; M-9459-2017; GRN-4828-2022
    Let l,m,r be fixed positive integers such that 2 vertical bar l, 3 lm, l > r and 3 vertical bar r. In this paper, using the BHV theorem on the existence of primitive divisors of Lehmer numbers, we prove that if min{rlm(2) - 1,(l-r)lm(2) + 1} >30, then the equation (rlm(2) - 1)(x) + ((l - r)lm(2) + 1)(y) = (lm)(z) only the positive integer solution (x,y,z) = (1,1,2).