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Möbius Inversion Formula

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Multiple Choice

What is the Möbius function?

  1. A function that takes a positive integer as input and returns 1 if the integer is square-free, -1 if the integer has an even number of prime factors, and 0 otherwise.
  2. A function that takes a positive integer as input and returns the number of prime factors of the integer.
  3. A function that takes a positive integer as input and returns the sum of the digits of the integer.
  4. A function that takes a positive integer as input and returns the greatest common divisor of the integer and 10.
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