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The Möbius Function

The Möbius Function is defined as

$\mu(n) = \begin{cases} 1 & \text{ if} n=1 \\ 0 & \text{ if } a^2 \mid n \text{ for some } a > 1 \\ (-1)^k & \text { if } n \text{ is the product of } k \text{ distinct primes } \\ \end{cases}$

Note by Ameya Salankar
3 years, 6 months ago

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Can you please tell me what are the applications of this function

- 3 years, 6 months ago