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 Arg

 http://functions.wolfram.com/12.02.16.0069.01

 Input Form

 Arg[z^(1/n)] == Arg[z]/n /; Element[n, Integers] && n != 0 && n != -1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Arg", "[", SuperscriptBox["z", RowBox[List["1", "/", "n"]]], "]"]], "\[Equal]", FractionBox[RowBox[List["Arg", "[", "z", "]"]], "n"]]], "/;", RowBox[List[RowBox[List["Element", "[", RowBox[List["n", ",", "Integers"]], "]"]], "\[And]", RowBox[List["n", "\[NotEqual]", "0"]], "\[And]", RowBox[List["n", "\[NotEqual]", RowBox[List["-", "1"]]]]]]]]]]

 MathML Form

 arg ( z 1 / n ) arg ( z ) n /; n TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] n 0 n - 1 Condition z 1 n -1 z n -1 n n 0 n -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Arg", "[", SuperscriptBox["z_", FractionBox["1", "n_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["Arg", "[", "z", "]"]], "n"], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", "\[NotEqual]", "0"]], "&&", RowBox[List["n", "\[NotEqual]", RowBox[List["-", "1"]]]]]]]]]]]]

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

 2007-05-02