MoebiusMu[m n] == 0 /; GCD[m, n] > 1

Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["MoebiusMu", "[", RowBox[List["m", " ", "n"]], "]"]], "\[Equal]", "0"]], "/;", RowBox[List[RowBox[List["GCD", "[", RowBox[List["m", ",", "n"]], "]"]], ">", "1"]]]]]]

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <semantics> <mi> &#956; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[Mu]&quot;, MoebiusMu] </annotation> </semantics> <mo> ( </mo> <mrow> <mi> m </mi> <mo> &#8290; </mo> <mi> n </mi> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mn> 0 </mn> </mrow> <mo> /; </mo> <mrow> <mrow> <mi> gcd </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mi> m </mi> <mo> , </mo> <mi> n </mi> </mrow> <mo> ) </mo> </mrow> <mo> &gt; </mo> <mn> 1 </mn> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <ci> MoebiusMu </ci> <apply> <times /> <ci> m </ci> <ci> n </ci> </apply> </apply> <cn type='integer'> 0 </cn> </apply> <apply> <gt /> <apply> <gcd /> <ci> m </ci> <ci> n </ci> </apply> <cn type='integer'> 1 </cn> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["MoebiusMu", "[", RowBox[List["m_", " ", "n_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["0", "/;", RowBox[List[RowBox[List["GCD", "[", RowBox[List["m", ",", "n"]], "]"]], ">", "1"]]]]]]]]

2001-10-29