The Möbius Function is defined as

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

The Möbius Function is defined as

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

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TopNewestCan you please tell me what are the applications of this function – Krishna Ar · 3 years, 1 month ago

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