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Fungrim entry: c5d844

(sZ2  and  a{0,1,})        ζ ⁣(s,a){~}\left(s \in \mathbb{Z}_{\ge 2} \;\mathbin{\operatorname{and}}\; a \in \{0, -1, \ldots\}\right) \;\implies\; \zeta\!\left(s, a\right) \in \left\{{\tilde \infty}\right\}
\left(s \in \mathbb{Z}_{\ge 2} \;\mathbin{\operatorname{and}}\; a \in \{0, -1, \ldots\}\right) \;\implies\; \zeta\!\left(s, a\right) \in \left\{{\tilde \infty}\right\}
Fungrim symbol Notation Short description
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
ZZLessEqualZn\mathbb{Z}_{\le n} Integers less than or equal to n
HurwitzZetaζ ⁣(s,a)\zeta\!\left(s, a\right) Hurwitz zeta function
UnsignedInfinity~{\tilde \infty} Unsigned infinity
Source code for this entry:
    Formula(Implies(And(Element(s, ZZGreaterEqual(2)), Element(a, ZZLessEqual(0))), Element(HurwitzZeta(s, a), Set(UnsignedInfinity)))),
    Variables(s, a))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC