@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:-XQZPCT5B-R
  skos:prefLabel "série L de Dirichlet"@fr, "Dirichlet L-series"@en ;
  a skos:Concept ;
  skos:narrower psr:-GPCDBC12-6 .

psr:-SNTKWPJM-D
  skos:prefLabel "polynôme"@fr, "polynomial"@en ;
  a skos:Concept ;
  skos:narrower psr:-GPCDBC12-6 .

psr:-GPCDBC12-6
  a skos:Concept ;
  skos:broader psr:-SNTKWPJM-D, psr:-XQZPCT5B-R ;
  skos:prefLabel "Fekete polynomial"@en, "polynôme de Fekete"@fr ;
  skos:inScheme psr: ;
  dc:created "2023-08-21"^^xsd:date ;
  skos:definition """In mathematics, a <b>Fekete polynomial</b> is a polynomial  <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 f_{p}(t):=\\\\sum _{a=0}^{p-1}\\\\left({\\rac {a}{p}}\\
ight)t^{a}\\\\,}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <msub>           <mi>f</mi>           <mrow class="MJX-TeXAtom-ORD">             <mi>p</mi>           </mrow>         </msub>         <mo stretchy="false">(</mo>         <mi>t</mi>         <mo stretchy="false">)</mo>         <mo>:=</mo>         <munderover>           <mo>∑<!-- ∑ --></mo>           <mrow class="MJX-TeXAtom-ORD">             <mi>a</mi>             <mo>=</mo>             <mn>0</mn>           </mrow>           <mrow class="MJX-TeXAtom-ORD">             <mi>p</mi>             <mo>−<!-- − --></mo>             <mn>1</mn>           </mrow>         </munderover>         <mrow>           <mo>(</mo>           <mrow class="MJX-TeXAtom-ORD">             <mfrac>               <mi>a</mi>               <mi>p</mi>             </mfrac>           </mrow>           <mo>)</mo>         </mrow>         <msup>           <mi>t</mi>           <mrow class="MJX-TeXAtom-ORD">             <mi>a</mi>           </mrow>         </msup>         <mspace width="thinmathspace"></mspace>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle f_{p}(t):=\\\\sum _{a=0}^{p-1}\\\\left({\\rac {a}{p}}\\
ight)t^{a}\\\\,}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/35fbb4b3c045eb27e9a8256e959716ba3048760f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:20.537ex; height:7.343ex;" alt="{\\\\displaystyle f_{p}(t):=\\\\sum _{a=0}^{p-1}\\\\left({\\rac {a}{p}}\\
ight)t^{a}\\\\,}"></span></dd></dl> where <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 \\\\left({\\rac {\\\\cdot }{p}}\\
ight)\\\\,}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mrow>           <mo>(</mo>           <mrow class="MJX-TeXAtom-ORD">             <mfrac>               <mo>⋅<!-- ⋅ --></mo>               <mi>p</mi>             </mfrac>           </mrow>           <mo>)</mo>         </mrow>         <mspace width="thinmathspace"></mspace>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle \\\\left({\\rac {\\\\cdot }{p}}\\
ight)\\\\,}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3cdcd90eabb56df66601d4f41fe61992f5a779db" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:5.814ex; height:6.176ex;" alt="{\\\\displaystyle \\\\left({\\rac {\\\\cdot }{p}}\\
ight)\\\\,}"></span> is the Legendre symbol modulo some integer <i>p</i> &gt; 1.  
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Fekete_polynomial">https://en.wikipedia.org/wiki/Fekete_polynomial</a>)"""@en ;
  dc:modified "2024-10-18"^^xsd:date ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Fekete_polynomial> .

psr: a skos:ConceptScheme .