DLMF:25.6.E17 (Q7654)

From DRMF
Revision as of 18:15, 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:25.6.E17
No description defined

    Statements

    Defining formula
    ( n + 3 4 ) ⁢ ζ ⁡ ( 4 ⁢ n + 2 ) = ∑ k = 1 n ζ ⁡ ( 2 ⁢ k ) ⁢ ζ ⁡ ( 4 ⁢ n + 2 - 2 ⁢ k ) , 𝑛 3 4 Riemann-zeta 4 𝑛 2 superscript subscript 𝑘 1 𝑛 Riemann-zeta 2 𝑘 Riemann-zeta 4 𝑛 2 2 𝑘 {\displaystyle{\displaystyle\left(n+\tfrac{3}{4}\right)\zeta\left(4n+2\right)=% \sum_{k=1}^{n}\zeta\left(2k\right)\zeta\left(4n+2-2k\right),}}
    0 references
    DLMF id
    DLMF:25.6.E17
    0 references
    constraint
    n ≥ 1 𝑛 1 {\displaystyle{\displaystyle n\geq 1}}
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7654&oldid=19595"