Published January 1, 2015
| Version v1
Journal article
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ON THE NUMBER OF SOLUTIONS OF THE DIOPHANTINE EQUATION x(2)+2(a) . p(b) = y(4)
Creators
- 1. Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
- 2. Zhanjiang Normal Coll, Dept Math, Zhanjiang 524048, Peoples R China
- 3. Uludag Univ, Dept Math, TR-1609 Bursa, Turkey
Description
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.
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