A p-adic Look at the Diophantine Equation x(2)+11(2k) =yn

CANGÜL İ. N., Soydan G., ŞİMŞEK Y.

International Conference on Numerical Analysis and Applied Mathematics, Rethimnon, Greece, 18 - 22 September 2009, vol.1168, pp.275-276, (Full Text)

  • Publication Type: Conference Paper / Full Text
  • Volume: 1168
  • City: Rethimnon
  • Country: Greece
  • Page Numbers: pp.275-276
  • Keywords: Exponential diophantine equations, primitive divisors
  • Akdeniz University Affiliated: Yes

Abstract

We find all solutions of Diophantine equation x(2) + 11(2k) = y(n), x >= 1, y >= 1, k is an element of N, n >= 3. We give p-adic interpretation of this equation.