Yayınlanmış 1 Ocak 2015 | Sürüm v1
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ON THE NUMBER OF SOLUTIONS OF THE DIOPHANTINE EQUATION x(2)+2(a) . p(b) = y(4)

  • 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

Açıklama

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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