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Formula:8741

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Digital Library of Mathematical Functions ID 27.8.E2

χ ⁡ ( m ⁢ n ) = χ ⁡ ( m ) ⁢ χ ⁡ ( n ) , Dirichlet-character 𝑚 𝑛 𝑘 Dirichlet-character 𝑚 𝑘 Dirichlet-character 𝑛 𝑘 {\displaystyle{\displaystyle\chi\left(mn\right)=\chi\left(m\right)\chi\left(n% \right),}}


Constraint(s)

m , n = 1 , 2 , … formulae-sequence 𝑚 𝑛 1 2 … {\displaystyle{\displaystyle m,n=1,2,\dots}}

Symbols List

  • χ ⁡ ( n ) Dirichlet-character 𝑛 𝑘 {\displaystyle{\displaystyle\chi\left(\NVar{n}\right)}} :
  • k 𝑘 {\displaystyle{\displaystyle k}} : positive integer
  • m 𝑚 {\displaystyle{\displaystyle m}} : positive integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : positive integer
  • χ ⁡ ( n ) Dirichlet-character 𝑛 𝑘 {\displaystyle{\displaystyle\chi\left(n\right)}} :
  •  Edit this on Wikidata

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