@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:-W2J4RK81-J .

psr:-W2J4RK81-J
  skos:definition """In mathematics, <b>Matsumoto zeta functions</b> are a type of zeta function introduced by Kohji Matsumoto in 1990. They are functions of the form  <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 \\\\phi (s)=\\\\prod _{p}{\\rac {1}{A_{p}(p^{-s})}}}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mi>ϕ<!-- ϕ --></mi>         <mo stretchy="false">(</mo>         <mi>s</mi>         <mo stretchy="false">)</mo>         <mo>=</mo>         <munder>           <mo>∏<!-- ∏ --></mo>           <mrow class="MJX-TeXAtom-ORD">             <mi>p</mi>           </mrow>         </munder>         <mrow class="MJX-TeXAtom-ORD">           <mfrac>             <mn>1</mn>             <mrow>               <msub>                 <mi>A</mi>                 <mrow class="MJX-TeXAtom-ORD">                   <mi>p</mi>                 </mrow>               </msub>               <mo stretchy="false">(</mo>               <msup>                 <mi>p</mi>                 <mrow class="MJX-TeXAtom-ORD">                   <mo>−<!-- − --></mo>                   <mi>s</mi>                 </mrow>               </msup>               <mo stretchy="false">)</mo>             </mrow>           </mfrac>         </mrow>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle \\\\phi (s)=\\\\prod _{p}{\\rac {1}{A_{p}(p^{-s})}}}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/709cb50b7e9c939def50bbb6c5181f390ef28b24" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:19.639ex; height:6.509ex;" alt="{\\\\displaystyle \\\\phi (s)=\\\\prod _{p}{\\rac {1}{A_{p}(p^{-s})}}}"></span></dd></dl> where <i>p</i> is a prime and <i>A</i><sub><i>p</i></sub> is a polynomial. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Matsumoto_zeta_function">https://en.wikipedia.org/wiki/Matsumoto_zeta_function</a>)"""@en ;
  dc:created "2023-08-22"^^xsd:date ;
  dc:modified "2024-10-18"^^xsd:date ;
  a skos:Concept ;
  skos:inScheme psr: ;
  skos:broader psr:-NHFK3Q1R-H ;
  skos:prefLabel "Matsumoto zeta function"@en, "fonction zêta de Matsumoto"@fr ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Matsumoto_zeta_function> .