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Fungrim entry: ad269f

(sC  and  Re(s)<0  and  aC)        ζ ⁣(s,a)C\left(s \in \mathbb{C} \;\mathbin{\operatorname{and}}\; \operatorname{Re}(s) < 0 \;\mathbin{\operatorname{and}}\; a \in \mathbb{C}\right) \;\implies\; \zeta\!\left(s, a\right) \in \mathbb{C}
\left(s \in \mathbb{C} \;\mathbin{\operatorname{and}}\; \operatorname{Re}(s) < 0 \;\mathbin{\operatorname{and}}\; a \in \mathbb{C}\right) \;\implies\; \zeta\!\left(s, a\right) \in \mathbb{C}
Fungrim symbol Notation Short description
CCC\mathbb{C} Complex numbers
ReRe(z)\operatorname{Re}(z) Real part
HurwitzZetaζ ⁣(s,a)\zeta\!\left(s, a\right) Hurwitz zeta function
Source code for this entry:
    Formula(Implies(And(Element(s, CC), Less(Re(s), 0), Element(a, CC)), Element(HurwitzZeta(s, a), CC))),
    Variables(s, a))

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2021-03-15 19:12:00.328586 UTC