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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/10.01.03.0050.01









  


  








Input Form





Zeta[48] == (5609403368997817686249127547 Pi^48)/ 4093648603384274996519698921478879580162286669921875








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Zeta", "[", "48", "]"]], "\[Equal]", FractionBox[RowBox[List["5609403368997817686249127547", " ", SuperscriptBox["\[Pi]", "48"]]], "4093648603384274996519698921478879580162286669921875"]]]]]








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> 48 </mn> <mo> ) </mo> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List[&quot;\[Zeta]&quot;, &quot;(&quot;, TagBox[&quot;48&quot;, Rule[Editable, True]], &quot;)&quot;]], InterpretTemplate[Function[$CellContext`e, Zeta[$CellContext`e]]]] </annotation> </semantics> <mo> &#10869; </mo> <mfrac> <mrow> <mn> 5609403368997817686249127547 </mn> <mo> &#8290; </mo> <msup> <mi> &#960; </mi> <mn> 48 </mn> </msup> </mrow> <mn> 4093648603384274996519698921478879580162286669921875 </mn> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> Zeta </ci> <cn type='integer'> 48 </cn> </apply> <apply> <times /> <cn type='integer'> 5609403368997817686249127547 </cn> <apply> <power /> <pi /> <cn type='integer'> 48 </cn> </apply> <apply> <power /> <cn type='integer'> 4093648603384274996519698921478879580162286669921875 </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", "[", "48", "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["5609403368997817686249127547", " ", SuperscriptBox["\[Pi]", "48"]]], "4093648603384274996519698921478879580162286669921875"]]]]]


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





2001-10-29