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http://functions.wolfram.com/10.02.03.0013.01
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Zeta[s, 5] == -1 - 2^(-s) - 3^(-s) - 4^(-s) + Zeta[s]
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Cell[BoxData[RowBox[List[" ", RowBox[List[RowBox[List["Zeta", "[", RowBox[List["s", ",", "5"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", "1"]], "-", SuperscriptBox["2", RowBox[List["-", "s"]]], "-", SuperscriptBox["3", RowBox[List["-", "s"]]], "-", SuperscriptBox["4", RowBox[List["-", "s"]]], "+", RowBox[List["Zeta", "[", "s", "]"]]]]]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <semantics> <mrow> <mi> ζ </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mi> s </mi> <mo> , </mo> <mn> 5 </mn> </mrow> <mo> ) </mo> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List["\[Zeta]", "(", RowBox[List[TagBox["s", Rule[Editable, True]], ",", "5"]], ")"]], InterpretTemplate[Function[List[$CellContext`e1, $CellContext`e2], Zeta[$CellContext`e1, $CellContext`e2]]]] </annotation> </semantics> <mo> ⩵ </mo> <mrow> <semantics> <mrow> <mi> ζ </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> s </mi> <mo> ) </mo> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List["\[Zeta]", "(", TagBox["s", Rule[Editable, True]], ")"]], InterpretTemplate[Function[$CellContext`e, Zeta[$CellContext`e]]]] </annotation> </semantics> <mo> - </mo> <msup> <mn> 2 </mn> <mrow> <mo> - </mo> <mi> s </mi> </mrow> </msup> <mo> - </mo> <msup> <mn> 3 </mn> <mrow> <mo> - </mo> <mi> s </mi> </mrow> </msup> <mo> - </mo> <msup> <mn> 4 </mn> <mrow> <mo> - </mo> <mi> s </mi> </mrow> </msup> <mo> - </mo> <mn> 1 </mn> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <mrow> <semantics> <mrow> <mi> ζ </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mi> s </mi> <mo> , </mo> <mn> 5 </mn> </mrow> <mo> ) </mo> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List["\[Zeta]", "(", RowBox[List[TagBox["s", Rule[Editable, True]], ",", "5"]], ")"]], InterpretTemplate[Function[List[$CellContext`e1, $CellContext`e2], Zeta[$CellContext`e1, $CellContext`e2]]]] </annotation> </semantics> <mo> ⩵ </mo> <mrow> <semantics> <mrow> <mi> ζ </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> s </mi> <mo> ) </mo> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List["\[Zeta]", "(", TagBox["s", Rule[Editable, True]], ")"]], InterpretTemplate[Function[$CellContext`e, Zeta[$CellContext`e]]]] </annotation> </semantics> <mo> - </mo> <msup> <mn> 2 </mn> <mrow> <mo> - </mo> <mi> s </mi> </mrow> </msup> <mo> - </mo> <msup> <mn> 3 </mn> <mrow> <mo> - </mo> <mi> s </mi> </mrow> </msup> <mo> - </mo> <msup> <mn> 4 </mn> <mrow> <mo> - </mo> <mi> s </mi> </mrow> </msup> <mo> - </mo> <mn> 1 </mn> </mrow> </mrow> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Zeta", "[", RowBox[List["s_", ",", "5"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", "1"]], "-", SuperscriptBox["2", RowBox[List["-", "s"]]], "-", SuperscriptBox["3", RowBox[List["-", "s"]]], "-", SuperscriptBox["4", RowBox[List["-", "s"]]], "+", RowBox[List["Zeta", "[", "s", "]"]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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){kind=small}
