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Formula:8726

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Digital Library of Mathematical Functions ID 27.6.E1

∑ d | n λ ⁡ ( d ) = { 1 , n ⁢  is a square , 0 , otherwise . subscript divides 𝑑 𝑛 Liouville-lambda 𝑑 cases 1 𝑛  is a square 0 otherwise {\displaystyle{\displaystyle\sum_{d\mathbin{|}n}\lambda\left(d\right)=\begin{% cases}1,&n\mbox{ is a square},\\ 0,&\mbox{otherwise}.\end{cases}}}


Constraint(s)

Symbols List

  • λ ⁡ ( n ) Liouville-lambda 𝑛 {\displaystyle{\displaystyle\lambda\left(\NVar{n}\right)}} : Liouville’s function
  • d 𝑑 {\displaystyle{\displaystyle d}} : positive integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : positive integer
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