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RamanujanTau




Mathematica Notation

Traditional Notation









Number Theory Functions > RamanujanTau[n] > Inequalities





http://functions.wolfram.com/13.13.29.0002.01









  


  








Input Form





Abs[RamanujanTau[n]] <= DivisorSigma[k, n] n^(11/2) /; n > 0








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Abs", "[", RowBox[List["RamanujanTau", "[", "n", "]"]], "]"]], "\[LessEqual]", RowBox[List[RowBox[List["DivisorSigma", "[", RowBox[List["k", ",", "n"]], "]"]], SuperscriptBox["n", FractionBox["11", "2"]]]]]], "/;", RowBox[List["n", ">", "0"]]]]]]








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> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[LeftBracketingBar]&quot; </annotation> </semantics> <mrow> <semantics> <mi> &#964; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[Tau]&quot;, RamanujanTau] </annotation> </semantics> <mo> ( </mo> <mi> n </mi> <mo> ) </mo> </mrow> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[RightBracketingBar]&quot; </annotation> </semantics> </mrow> <mo> &#8804; </mo> <mrow> <mrow> <msub> <semantics> <mi> &#963; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[Sigma]&quot;, DivisorSigma] </annotation> </semantics> <mi> k </mi> </msub> <mo> ( </mo> <mi> n </mi> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> n </mi> <mrow> <mn> 11 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> </mrow> <mo> /; </mo> <mrow> <mi> n </mi> <mo> &gt; </mo> <mn> 0 </mn> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <leq /> <apply> <abs /> <apply> <ci> RamanujanTau </ci> <ci> n </ci> </apply> </apply> <apply> <times /> <apply> <ci> DivisorSigma </ci> <ci> k </ci> <ci> n </ci> </apply> <apply> <power /> <ci> n </ci> <cn type='rational'> 11 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <gt /> <ci> n </ci> <cn type='integer'> 0 </cn> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Abs", "[", RowBox[List["RamanujanTau", "[", "n", "]"]], "]"]], "\[LessEqual]", RowBox[List[RowBox[List["DivisorSigma", "[", RowBox[List["k", ",", "n"]], "]"]], " ", SuperscriptBox["n", RowBox[List["11", "/", "2"]]]]]]], "/;", RowBox[List["n", ">", "0"]]]]]]


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





2007-05-02