On Diophantine Equations 2^x + 3y^2 = 4^z and 2^x + 7y^2 = 4^z
نویسندگان
چکیده
منابع مشابه
The Exponential Diophantine Equation 2x + by = cz
Let b and c be fixed coprime odd positive integers with min{b, c} > 1. In this paper, a classification of all positive integer solutions (x, y, z) of the equation 2 (x) + b (y) = c (z) is given. Further, by an elementary approach, we prove that if c = b + 2, then the equation has only the positive integer solution (x, y, z) = (1,1, 1), except for (b, x, y, z) = (89,13,1, 2) and (2 (r) - 1, r + ...
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ژورنال
عنوان ژورنال: International Journal of Advanced Mathematical Sciences
سال: 2013
ISSN: 2307-454X
DOI: 10.14419/ijams.v1i1.708