DLMF:27.4.E10 (Q8021)

From DRMF
Revision as of 18:21, 30 December 2019 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:27.4.E10
No description defined

    Statements

    n = 1 d k ( n ) n - s = ( ζ ( s ) ) k , superscript subscript 𝑛 1 divisor-function-D 𝑘 𝑛 superscript 𝑛 𝑠 superscript Riemann-zeta 𝑠 𝑘 {\displaystyle{\displaystyle\sum_{n=1}^{\infty}d_{k}\left(n\right)n^{-s}=(% \zeta\left(s\right))^{k},}}
    0 references
    DLMF:27.4.E10
    0 references
    s > 1 𝑠 1 {\displaystyle{\displaystyle\Re s>1}}
    0 references