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Formula:8693

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Digital Library of Mathematical Functions ID 27.2.E13

λ ⁡ ( n ) = { 1 , n = 1 , ( - 1 ) a 1 + … + a ν ⁡ ( n ) , n > 1 . Liouville-lambda 𝑛 cases 1 𝑛 1 superscript 1 subscript 𝑎 1 … subscript 𝑎 number-of-primes-dividing-nu 𝑛 𝑛 1 {\displaystyle{\displaystyle\lambda\left(n\right)=\begin{cases}1,&n=1,\\ (-1)^{a_{1}+\dots+a_{\nu\left(n\right)}},&n>1.\end{cases}}}


Constraint(s)

Symbols List

  • ν ⁡ ( n ) number-of-primes-dividing-nu 𝑛 {\displaystyle{\displaystyle\nu\left(\NVar{n}\right)}} :
  • n 𝑛 {\displaystyle{\displaystyle n}} : positive integer
  • a 𝑎 {\displaystyle{\displaystyle a}} : primitive root
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This page was last edited on 28 January 2024, at 10:30.
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