Riemann zeta function

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-20.3

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https://metanorma.github.io/isq-smart/math/part-2-20/t2-20.3
urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.3

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.3

IEC

urn:iec:std:iec:80000-2:2019:::item:2-20.3

Designations

ENRiemann zeta function

FRfonction zêta de Riemann

Symbol

ζ (z)

Notation systems

AsciiMath

rm(zeta)(z)

LaTeX

\mathrm{\zeta} ( z )

Definition

Riemann zeta function

fonction zêta de Riemann

$ζ (z)$ is a meromorphic function with one pole at $z = 1$ .

$ζ (z) = \sum_{n = 1}^{\infty} \frac{1}{n^{2}}$ (for $Re z > 1$ )

$ζ (z)$ est une fonction méromorpheayant un seul pôle $z = 1$ .

$ζ (z) = \sum_{n = 1}^{\infty} \frac{1}{n^{2}}$ (pour Re $z$ > 1)

A mathematical concept as defined in ISO/IEC 80000 Part 2.

isq:t2-20.3

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-20.3
skosxl:prefLabel	"Riemann zeta function"@en
skosxl:altLabel	"rm(zeta)(z)"@en
skos:definition	Riemann zeta function
skos:note	stem:[rm(zeta)(z)] is a meromorphic function with one pole at stem:[z=1]. stem:[rm(zeta)(z) = sum_(n=1)^(oo) 1/(n^2)] (…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-20