The Möbius Function

The Möbius Function is defined as

μ(n)={1 ifn=10 if a2∣n for some a>1(−1)k if n is the product of k distinct primes  \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}

#NumberTheory #Möbius

Note by Ameya Salankar
7 years, 2 months ago

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Comments

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

Krishna Ar - 7 years, 2 months ago
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