@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

psr: a skos:ConceptScheme .
psr:-NHFK3Q1R-H
  skos:prefLabel "fonction L"@fr, "L-function"@en ;
  a skos:Concept ;
  skos:narrower psr:-T6HZX2JX-V .

psr:-T6HZX2JX-V
  skos:inScheme psr: ;
  skos:prefLabel "Riesz function"@en, "fonction de Riesz"@fr ;
  dc:created "2023-08-22"^^xsd:date ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Riesz_function> ;
  skos:broader psr:-GLLWFCMV-S, psr:-NHFK3Q1R-H ;
  skos:definition """In mathematics, the <b>Riesz function</b> is an entire function defined by Marcel Riesz in connection with the Riemann hypothesis, by means of the power series
<br/>
<br/><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle {\\
m {Riesz}}(x)=-\\\\sum _{k=1}^{\\\\infty }{\\rac {(-x)^{k}}{(k-1)!\\\\zeta (2k)}}=x\\\\sum _{n=1}^{\\\\infty }{\\rac {\\\\mu (n)}{n^{2}}}\\\\exp \\\\left({\\rac {-x}{n^{2}}}\\
ight).}">
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<br/>            <mi mathvariant="normal">z</mi>
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<br/>        <mo stretchy="false">(</mo>
<br/>        <mi>x</mi>
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<br/>        <mi>exp</mi>
<br/>        <mo>⁡<!-- ⁡ --></mo>
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<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle {\\
m {Riesz}}(x)=-\\\\sum _{k=1}^{\\\\infty }{\\rac {(-x)^{k}}{(k-1)!\\\\zeta (2k)}}=x\\\\sum _{n=1}^{\\\\infty }{\\rac {\\\\mu (n)}{n^{2}}}\\\\exp \\\\left({\\rac {-x}{n^{2}}}\\
ight).}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9d088c8ff0fe3ade44a9ba4268cbd17461a42e42" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -3.005ex; width:57.278ex; height:7.009ex;" alt="{\\\\displaystyle {\\
m {Riesz}}(x)=-\\\\sum _{k=1}^{\\\\infty }{\\rac {(-x)^{k}}{(k-1)!\\\\zeta (2k)}}=x\\\\sum _{n=1}^{\\\\infty }{\\rac {\\\\mu (n)}{n^{2}}}\\\\exp \\\\left({\\rac {-x}{n^{2}}}\\
ight).}"> 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Riesz_function">https://en.wikipedia.org/wiki/Riesz_function</a>)"""@en ;
  dc:modified "2023-08-22"^^xsd:date ;
  a skos:Concept .

psr:-GLLWFCMV-S
  skos:prefLabel "entire function"@en, "fonction entière"@fr ;
  a skos:Concept ;
  skos:narrower psr:-T6HZX2JX-V .