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 RamanujanTauTheta

 http://functions.wolfram.com/10.12.03.0001.01

 Input Form

 RamanujanTauTheta[x] == Im[LogGamma[6 + I x]] - Log[2 Pi] x /; Element[x, Reals]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["RamanujanTauTheta", "[", "x", "]"]], "\[Equal]", RowBox[List[RowBox[List["Im", "[", RowBox[List["LogGamma", "[", RowBox[List["6", "+", RowBox[List["\[ImaginaryI]", " ", "x"]]]], "]"]], "]"]], "-", RowBox[List[RowBox[List["Log", "[", RowBox[List["2", "\[Pi]"]], "]"]], "x"]]]]]], "/;", RowBox[List["x", "\[Element]", "Reals"]]]]]]

 MathML Form

 τθ ( x ) Im ( logΓ ( x + 6 ) ) - log ( 2 π ) x /; x TagBox["\[DoubleStruckCapitalR]", Function[List[], Reals]] Condition τθ x LogGamma x 6 -1 2 x x [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["RamanujanTauTheta", "[", "x_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["Im", "[", RowBox[List["LogGamma", "[", RowBox[List["6", "+", RowBox[List["\[ImaginaryI]", " ", "x"]]]], "]"]], "]"]], "-", RowBox[List[RowBox[List["Log", "[", RowBox[List["2", " ", "\[Pi]"]], "]"]], " ", "x"]]]], "/;", RowBox[List["x", "\[Element]", "Reals"]]]]]]]]

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

 2007-05-02