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Formula:8439

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Digital Library of Mathematical Functions ID 25.15.E1

L ⁡ ( s , χ ) = ∑ n = 1 ∞ χ ⁢ ( n ) n s , Dirichlet-L 𝑠 𝜒 superscript subscript 𝑛 1 𝜒 𝑛 superscript 𝑛 𝑠 {\displaystyle{\displaystyle L\left(s,\chi\right)=\sum_{n=1}^{\infty}\frac{% \chi(n)}{n^{s}},}}


Constraint(s)

ℜ ⁡ s > 1 𝑠 1 {\displaystyle{\displaystyle\Re s>1}}

Symbols List

  • ℜ ⁡ absent {\displaystyle{\displaystyle\Re}} : real part
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • s 𝑠 {\displaystyle{\displaystyle s}} : complex variable
  • χ ⁢ ( n ) 𝜒 𝑛 {\displaystyle{\displaystyle\chi(n)}} : Dirichlet character
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This page was last edited on 28 January 2024, at 10:02.
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