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DLMF:27.14.E11 - MaRDI portal

DLMF:27.14.E11 (Q8803)

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DLMF:27.14.E11
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    Statements

    DLMF defining formula
    s ⁢ ( h , k ) = ∑ r = 1 k - 1 r k ⁢ ( h ⁢ r k - ⌊ h ⁢ r k ⌋ - 1 2 ) . 𝑠 ℎ 𝑘 superscript subscript 𝑟 1 𝑘 1 𝑟 𝑘 ℎ 𝑟 𝑘 ℎ 𝑟 𝑘 1 2 {\displaystyle{\displaystyle s(h,k)=\sum_{r=1}^{k-1}\frac{r}{k}\left(\frac{hr}% {k}-\left\lfloor\frac{hr}{k}\right\rfloor-\frac{1}{2}\right).}}
    0 references
    Symbols used
    Q11140
    DLMF defining formula
    ⌊ x ⌋ 𝑥 {\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}
    xml-id
    introduction.Sx4.p1.t1.r17.m4adec
    0 references
    positive integer
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C27.S1.XMD2.m1fdec
    0 references

    Identifiers

     
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