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 RiemannSiegelZ

 http://functions.wolfram.com/10.04.06.0004.02

 Input Form

 RiemannSiegelZ[z] \[Proportional] (-(1/Sqrt[-2 I (z + I/2)])) (1 + O[z + I/2])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["RiemannSiegelZ", "[", "z", "]"]], "\[Proportional]", RowBox[List[RowBox[List["-", FractionBox["1", SqrtBox[RowBox[List[RowBox[List["-", "2"]], "\[ImaginaryI]", " ", RowBox[List["(", RowBox[List["z", "+", FractionBox["\[ImaginaryI]", "2"]]], ")"]]]]]]]], RowBox[List["(", RowBox[List["1", "+", RowBox[List["O", "[", RowBox[List["z", "+", FractionBox["\[ImaginaryI]", "2"]]], "]"]]]], ")"]]]]]]]]

 MathML Form

 Z TagBox["Z", RiemannSiegelZ] ( z ) - 1 - 2 ( z + 2 ) ( 1 + O ( z + 2 ) ) Proportional RiemannSiegelZ z -1 1 -2 z 2 -1 1 2 -1 1 O z 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["RiemannSiegelZ", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List["-", FractionBox[RowBox[List["1", "+", RowBox[List["O", "[", RowBox[List["z", "+", FractionBox["\[ImaginaryI]", "2"]]], "]"]]]], SqrtBox[RowBox[List[RowBox[List["-", "2"]], " ", "\[ImaginaryI]", " ", RowBox[List["(", RowBox[List["z", "+", FractionBox["\[ImaginaryI]", "2"]]], ")"]]]]]]]]]]]]

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

 2001-10-29