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Fungrim entry: 05c2dd

sZ2        (ζ ⁣(s,a) is meromorphic on aC)s \in \mathbb{Z}_{\ge 2} \;\implies\; \left(\zeta\!\left(s, a\right) \text{ is meromorphic on } a \in \mathbb{C}\right)
s \in \mathbb{Z}_{\ge 2} \;\implies\; \left(\zeta\!\left(s, a\right) \text{ is meromorphic on } a \in \mathbb{C}\right)
Fungrim symbol Notation Short description
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
IsMeromorphicf(z) is meromorphic at z=cf(z) \text{ is meromorphic at } z = c Meromorphic predicate
HurwitzZetaζ ⁣(s,a)\zeta\!\left(s, a\right) Hurwitz zeta function
CCC\mathbb{C} Complex numbers
Source code for this entry:
    Formula(Implies(Element(s, ZZGreaterEqual(2)), IsMeromorphic(HurwitzZeta(s, a), ForElement(a, CC)))),

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2021-03-15 19:12:00.328586 UTC