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Fungrim entry: b0f500

(sZ{1}  and  aR{0,1,})        ζ ⁣(s,a)R\left(s \in \mathbb{Z} \setminus \left\{1\right\} \;\mathbin{\operatorname{and}}\; a \in \mathbb{R} \setminus \{0, -1, \ldots\}\right) \;\implies\; \zeta\!\left(s, a\right) \in \mathbb{R}
\left(s \in \mathbb{Z} \setminus \left\{1\right\} \;\mathbin{\operatorname{and}}\; a \in \mathbb{R} \setminus \{0, -1, \ldots\}\right) \;\implies\; \zeta\!\left(s, a\right) \in \mathbb{R}
Fungrim symbol Notation Short description
ZZZ\mathbb{Z} Integers
RRR\mathbb{R} Real numbers
ZZLessEqualZn\mathbb{Z}_{\le n} Integers less than or equal to n
HurwitzZetaζ ⁣(s,a)\zeta\!\left(s, a\right) Hurwitz zeta function
Source code for this entry:
    Formula(Implies(And(Element(s, SetMinus(ZZ, Set(1))), Element(a, SetMinus(RR, ZZLessEqual(0)))), Element(HurwitzZeta(s, a), RR))),
    Variables(s, a))

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2021-03-15 19:12:00.328586 UTC