On the Collatz conjecture

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  • コラッツ予想について
  • コラッツ ヨソウ ニ ツイテ

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The Collatz conjecture on the rational numbers is that there exists a positive integer n satisfying f^n(m) = 1 for any rational number m ≥ 3, where f is the function on the rational number field defined by f(m) = m/2 if the numerator of m is even and f(m) = (3m + 1)/2 if the numerator of m is odd. We will consider the cycles and generalized cases.

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