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http://functions.wolfram.com/10.12.03.0028.01
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RamanujanTauTheta[-((19 I)/2)] ==
2 Pi - (I/2) Log[649979752131084375/(274877906944 Pi^19)]
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Cell[BoxData[RowBox[List[RowBox[List["RamanujanTauTheta", "[", RowBox[List["-", FractionBox[RowBox[List["19", " ", "\[ImaginaryI]"]], "2"]]], "]"]], "\[Equal]", RowBox[List[RowBox[List["2", " ", "\[Pi]"]], "-", RowBox[List[FractionBox["\[ImaginaryI]", "2"], " ", RowBox[List["Log", "[", FractionBox["649979752131084375", RowBox[List["274877906944", SuperscriptBox["\[Pi]", "19"]]]], "]"]]]]]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mi> τθ </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mo> - </mo> <mfrac> <mrow> <mn> 19 </mn> <mo> ⁢ </mo> <mi> ⅈ </mi> </mrow> <mn> 2 </mn> </mfrac> </mrow> <mo> ) </mo> </mrow> <mo>  </mo> <mrow> <mrow> <mn> 2 </mn> <mo> ⁢ </mo> <mi> π </mi> </mrow> <mo> - </mo> <mrow> <mfrac> <mn> 1 </mn> <mn> 2 </mn> </mfrac> <mo> ⁢ </mo> <mi> ⅈ </mi> <mo> ⁢ </mo> <mrow> <mi> log </mi> <mo> ⁡ </mo> <mo> ( </mo> <mfrac> <mn> 649979752131084375 </mn> <mrow> <mn> 274877906944 </mn> <mo> ⁢ </mo> <msup> <mi> π </mi> <mn> 19 </mn> </msup> </mrow> </mfrac> <mo> ) </mo> </mrow> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> τθ </ci> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 19 </cn> <imaginaryi /> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 2 </cn> <pi /> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='rational'> 1 <sep /> 2 </cn> <imaginaryi /> <apply> <ln /> <apply> <times /> <cn type='integer'> 649979752131084375 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> 274877906944 </cn> <apply> <power /> <pi /> <cn type='integer'> 19 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["RamanujanTauTheta", "[", RowBox[List[RowBox[List["-", FractionBox["1", "2"]]], " ", RowBox[List["(", RowBox[List["19", " ", "\[ImaginaryI]"]], ")"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["2", " ", "\[Pi]"]], "-", RowBox[List[FractionBox["1", "2"], " ", "\[ImaginaryI]", " ", RowBox[List["Log", "[", FractionBox["649979752131084375", RowBox[List["274877906944", " ", SuperscriptBox["\[Pi]", "19"]]]], "]"]]]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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){kind=small}
