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 JacobiSymbol

 http://functions.wolfram.com/13.08.03.0009.01

 Input Form

 JacobiSymbol[-1, m] == -1 /; Element[(m - 3)/4, Integers] && (m - 3)/4 >= 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["JacobiSymbol", "[", RowBox[List[RowBox[List["-", "1"]], ",", "m"]], "]"]], "\[Equal]", RowBox[List["-", "1"]]]], "/;", RowBox[List[RowBox[List[FractionBox[RowBox[List["m", "-", "3"]], "4"], "\[Element]", "Integers"]], "\[And]", RowBox[List[FractionBox[RowBox[List["m", "-", "3"]], "4"], "\[GreaterEqual]", "0"]]]]]]]]

 MathML Form

 ( - 1 m ) TagBox[RowBox[List["(", FractionBox[RowBox[List["-", "1"]], "m"], ")"]], JacobiSymbol, Rule[Editable, False]] - 1 /; m - 3 4 Condition JacobiSymbol -1 m -1 m -3 4 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["JacobiSymbol", "[", RowBox[List[RowBox[List["-", "1"]], ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", "1"]], "/;", RowBox[List[RowBox[List[FractionBox[RowBox[List["m", "-", "3"]], "4"], "\[Element]", "Integers"]], "&&", RowBox[List[FractionBox[RowBox[List["m", "-", "3"]], "4"], "\[GreaterEqual]", "0"]]]]]]]]]]

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

 2001-10-29