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variants of this functions
Zeta






Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > Zeta[s] > Specific values > Values at fixed points





http://functions.wolfram.com/10.01.03.0046.01









  


  










Input Form





Zeta[40] == (261082718496449122051 Pi^40)/ 20080431172289638826798401128390556640625










Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Zeta", "[", "40", "]"]], "\[Equal]", FractionBox[RowBox[List["261082718496449122051", " ", SuperscriptBox["\[Pi]", "40"]]], "20080431172289638826798401128390556640625"]]]]]










MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <semantics> <mrow> <mi> &#950; </mi> <mo> &#8289; </mo> <mo> ( </mo> <mn> 40 </mn> <mo> ) </mo> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List[&quot;\[Zeta]&quot;, &quot;(&quot;, TagBox[&quot;40&quot;, Rule[Editable, True]], &quot;)&quot;]], InterpretTemplate[Function[$CellContext`e, Zeta[$CellContext`e]]]] </annotation> </semantics> <mo> &#10869; </mo> <mfrac> <mrow> <mn> 261082718496449122051 </mn> <mo> &#8290; </mo> <msup> <mi> &#960; </mi> <mn> 40 </mn> </msup> </mrow> <mn> 20080431172289638826798401128390556640625 </mn> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> Zeta </ci> <cn type='integer'> 40 </cn> </apply> <apply> <times /> <cn type='integer'> 261082718496449122051 </cn> <apply> <power /> <pi /> <cn type='integer'> 40 </cn> </apply> <apply> <power /> <cn type='integer'> 20080431172289638826798401128390556640625 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Zeta", "[", "40", "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["261082718496449122051", " ", SuperscriptBox["\[Pi]", "40"]]], "20080431172289638826798401128390556640625"]]]]]










Date Added to functions.wolfram.com (modification date)





2001-10-29





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