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Fungrim entry: a5980a

(s{0,1,}  and  aC)        ζ ⁣(s,a)C\left(s \in \{0, -1, \ldots\} \;\mathbin{\operatorname{and}}\; a \in \mathbb{C}\right) \;\implies\; \zeta\!\left(s, a\right) \in \mathbb{C}
\left(s \in \{0, -1, \ldots\} \;\mathbin{\operatorname{and}}\; a \in \mathbb{C}\right) \;\implies\; \zeta\!\left(s, a\right) \in \mathbb{C}
Fungrim symbol Notation Short description
ZZLessEqualZn\mathbb{Z}_{\le n} Integers less than or equal to n
CCC\mathbb{C} Complex numbers
HurwitzZetaζ ⁣(s,a)\zeta\!\left(s, a\right) Hurwitz zeta function
Source code for this entry:
    Formula(Implies(And(Element(s, ZZLessEqual(0)), Element(a, CC)), Element(HurwitzZeta(s, a), CC))),
    Variables(s, a))

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2021-03-15 19:12:00.328586 UTC