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Fungrim entry: 52c4ab

polessC{~}ζ(s)={1}\mathop{\operatorname{poles}\,}\limits_{s \in \mathbb{C} \cup \left\{{\tilde \infty}\right\}} \zeta(s) = \left\{1\right\}
TeX:
\mathop{\operatorname{poles}\,}\limits_{s \in \mathbb{C} \cup \left\{{\tilde \infty}\right\}} \zeta(s) = \left\{1\right\}
Definitions:
Fungrim symbol Notation Short description
RiemannZetaζ(s)\zeta(s) Riemann zeta function
CCC\mathbb{C} Complex numbers
UnsignedInfinity~{\tilde \infty} Unsigned infinity
Source code for this entry:
Entry(ID("52c4ab"),
    Formula(Equal(Poles(RiemannZeta(s), ForElement(s, Union(CC, Set(UnsignedInfinity)))), Set(1))))

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

2019-10-05 13:11:19.856591 UTC