|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
http://functions.wolfram.com/13.13.16.0001.01
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
RamanujanTau[n m] == RamanujanTau[n] RamanujanTau[m] /; GCD[n, m] == 1
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["RamanujanTau", "[", RowBox[List["n", " ", "m"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["RamanujanTau", "[", "n", "]"]], RowBox[List["RamanujanTau", "[", "m", "]"]]]]]], "/;", RowBox[List[RowBox[List["GCD", "[", RowBox[List["n", ",", "m"]], "]"]], "\[Equal]", "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> τ </mi> <annotation encoding='Mathematica'> TagBox["\[Tau]", RamanujanTau] </annotation> </semantics> <mo> ( </mo> <mrow> <mi> n </mi> <mo> ⁢ </mo> <mi> m </mi> </mrow> <mo> ) </mo> </mrow> <mo>  </mo> <mrow> <mrow> <semantics> <mi> τ </mi> <annotation encoding='Mathematica'> TagBox["\[Tau]", RamanujanTau] </annotation> </semantics> <mo> ( </mo> <mi> n </mi> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <semantics> <mi> τ </mi> <annotation encoding='Mathematica'> TagBox["\[Tau]", RamanujanTau] </annotation> </semantics> <mo> ( </mo> <mi> m </mi> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> /; </mo> <mrow> <mrow> <mi> gcd </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mi> n </mi> <mo> , </mo> <mi> m </mi> </mrow> <mo> ) </mo> </mrow> <mo>  </mo> <mn> 1 </mn> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <ci> RamanujanTau </ci> <apply> <times /> <ci> n </ci> <ci> m </ci> </apply> </apply> <apply> <times /> <apply> <ci> RamanujanTau </ci> <ci> n </ci> </apply> <apply> <ci> RamanujanTau </ci> <ci> m </ci> </apply> </apply> </apply> <apply> <eq /> <apply> <gcd /> <ci> n </ci> <ci> m </ci> </apply> <cn type='integer'> 1 </cn> </apply> </apply> </annotation-xml> </semantics> </math>
|
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["RamanujanTau", "[", RowBox[List["n_", " ", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["RamanujanTau", "[", "n", "]"]], " ", RowBox[List["RamanujanTau", "[", "m", "]"]]]], "/;", RowBox[List[RowBox[List["GCD", "[", RowBox[List["n", ",", "m"]], "]"]], "\[Equal]", "1"]]]]]]]] |
|
|
|
|
|
|
|
|
|
|
Date Added to functions.wolfram.com (modification date)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|