DLMF:25.11.E42 (Q7716)

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DLMF:25.11.E42
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    Statements

    Defining formula
    ζ ⁡ ( s , α + i ⁢ β ) → 0 , → Hurwitz-zeta 𝑠 𝛼 𝑖 𝛽 0 {\displaystyle{\displaystyle\zeta\left(s,\alpha+i\beta\right)\to 0,}}
    0 references
    DLMF id
    DLMF:25.11.E42
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    Symbols used
    Hurwitz zeta function
    Defining formula
    ζ ⁡ ( s , a ) Hurwitz-zeta 𝑠 𝑎 {\displaystyle{\displaystyle\zeta\left(\NVar{s},\NVar{a}\right)}}
    xml-id
    C25.S11.E1.m2aaodec
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    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2abdec
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    Q12149
    Defining formula
    s 𝑠 {\displaystyle{\displaystyle s}}
    xml-id
    C25.S1.XMD7.m1aadec
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