Published January 1, 2018
| Version v1
Journal article
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On the Diophantine equation ((c+1)m(2)+1)(x) + (cm(2)-1)(y) = (am)(z)
- 1. Bursa Uludag Univ, Fac Arts & Sci, Dept Math, Bursa, Turkey
- 2. Gunma Univ, Fac Sci & Technol, Div Pure & Appl Sci, Kiryu, Gunma, Japan
Description
Suppose that c, in, and a are positive integers with a 11, 13 (mod 24) . In this work, we prove that when 2c + 1 = a(2), the Diophantine equation in the title has only solution (x, y, z) = (1,1,2) where m +/- 1 (mod a) and m > a(2) in positive integers. The main tools of the proofs are elementary methods and Baker's theory.
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