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Cyclotomic




Mathematica Notation

Traditional Notation









Polynomials > Cyclotomic[n,z] > Generating functions





http://functions.wolfram.com/05.11.11.0001.01









  


  








Input Form





SeriesTerm[Cyclotomic[n, z], {z, 0, EulerPhi[n]}] == 1 /; n > 1








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["SeriesTerm", "[", RowBox[List[RowBox[List["Cyclotomic", "[", RowBox[List["n", ",", "z"]], "]"]], ",", RowBox[List["{", RowBox[List["z", ",", "0", ",", RowBox[List["EulerPhi", "[", "n", "]"]]]], "}"]]]], "]"]], "\[Equal]", "1"]], "/;", RowBox[List["n", ">", "1"]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <mo> ( </mo> <mrow> <mrow> <mo> [ </mo> <msup> <mi> z </mi> <mrow> <semantics> <mi> &#966; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[CurlyPhi]&quot;, EulerPhi] </annotation> </semantics> <mo> ( </mo> <mi> n </mi> <mo> ) </mo> </mrow> </msup> <mtext> </mtext> <mo> ] </mo> </mrow> <mo> &#8290; </mo> <mrow> <msub> <semantics> <mi> C </mi> <annotation encoding='Mathematica'> TagBox[&quot;C&quot;, Cyclotomic] </annotation> </semantics> <mi> n </mi> </msub> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mn> 1 </mn> </mrow> <mo> /; </mo> <mrow> <mi> n </mi> <mo> &gt; </mo> <mn> 1 </mn> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <mrow> <mrow> <mrow> <mo> ( </mo> <mrow> <mrow> <mo> [ </mo> <msup> <mi> z </mi> <mrow> <semantics> <mi> &#966; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[CurlyPhi]&quot;, EulerPhi] </annotation> </semantics> <mo> ( </mo> <mi> n </mi> <mo> ) </mo> </mrow> </msup> <mtext> </mtext> <mo> ] </mo> </mrow> <mo> &#8290; </mo> <mrow> <msub> <semantics> <mi> C </mi> <annotation encoding='Mathematica'> TagBox[&quot;C&quot;, Cyclotomic] </annotation> </semantics> <mi> n </mi> </msub> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mn> 1 </mn> </mrow> <mo> /; </mo> <mrow> <mi> n </mi> <mo> &gt; </mo> <mn> 1 </mn> </mrow> </mrow> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["SeriesTerm", "[", RowBox[List[RowBox[List["Cyclotomic", "[", RowBox[List["n_", ",", "z_"]], "]"]], ",", RowBox[List["{", RowBox[List["z_", ",", "0", ",", RowBox[List["EulerPhi", "[", "n_", "]"]]]], "}"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["1", "/;", RowBox[List["n", ">", "1"]]]]]]]]


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





2001-10-29