KroneckerSymbol[n, m] == JacobiSymbol[n, m]

Cell[BoxData[RowBox[List[RowBox[List["KroneckerSymbol", "[", RowBox[List[StyleBox["n", "TI"], ",", StyleBox["m", "TI"]]], "]"]], "\[Equal]", RowBox[List["JacobiSymbol", "[", RowBox[List[StyleBox["n", "TI"], ",", StyleBox["m", "TI"]]], "]"]]]]]]

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <semantics> <mrow> <mo> ( </mo> <mfrac> <mi> n </mi> <mi> m </mi> </mfrac> <mo> ) </mo> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List[&quot;(&quot;, FractionBox[&quot;n&quot;, &quot;m&quot;], &quot;)&quot;]], KroneckerSymbol, Rule[Editable, False]] </annotation> </semantics> <mo> &#63449; </mo> <semantics> <mrow> <mo> ( </mo> <mfrac> <mi> n </mi> <mi> m </mi> </mfrac> <mo> ) </mo> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List[&quot;(&quot;, FractionBox[&quot;n&quot;, &quot;m&quot;], &quot;)&quot;]], JacobiSymbol, Rule[Editable, False]] </annotation> </semantics> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> KroneckerSymbol </ci> <ci> n </ci> <ci> m </ci> </apply> <apply> <ci> JacobiSymbol </ci> <ci> n </ci> <ci> m </ci> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["KroneckerSymbol", "[", RowBox[List["n_", ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["JacobiSymbol", "[", RowBox[List["n", ",", "m"]], "]"]]]]]]

2007-05-02