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Formula:8704

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Digital Library of Mathematical Functions ID 27.3.E10

f ⁢ ( n ) = ∏ r = 1 ν ⁡ ( n ) ( f ⁢ ( p r ) ) a r . 𝑓 𝑛 superscript subscript product 𝑟 1 number-of-primes-dividing-nu 𝑛 superscript 𝑓 subscript 𝑝 𝑟 subscript 𝑎 𝑟 {\displaystyle{\displaystyle f(n)=\prod_{r=1}^{\nu\left(n\right)}\left(f(p_{r}% )\right)^{a_{r}}.}}


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
  • p , p 1 , … 𝑝 subscript 𝑝 1 … {\displaystyle{\displaystyle p,p_{1},\ldots}} : prime numbers
  • a r subscript 𝑎 𝑟 {\displaystyle{\displaystyle a_{r}}} : primitive root
  • f ⁢ ( n ) 𝑓 𝑛 {\displaystyle{\displaystyle f(n)}} : multiplicative function
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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