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A Markov number is a specific type of positive integer that is associated with a particular solution to Markov's equation, which is given by: \[ x^2 + y^2 + z^2 = 3xyz \] where \( x \), \( y \), and \( z \) are positive integers. A set of numbers \( (x, y, z) \) that satisfies this equation is called a Markov triple.

Ancestors (5)

  1. Diophantine equations
  2. Number theory
  3. Fields of mathematics
  4. Mathematics
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