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 JacobiZeta

 http://functions.wolfram.com/08.07.04.0009.01

 Input Form

 RamificationIndex[JacobiZeta[z, m], z, -ArcSin[1/Sqrt[z]] + 2 Pi k] == 2 /; Element[k, Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["RamificationIndex", "[", RowBox[List[RowBox[List["JacobiZeta", "[", RowBox[List["z", ",", "m"]], "]"]], ",", "z", ",", RowBox[List[RowBox[List["-", RowBox[List["ArcSin", "[", FractionBox["1", SqrtBox["z"]], "]"]]]], "+", RowBox[List["2", "\[Pi]", " ", "k"]]]]]], "]"]], "\[Equal]", "2"]], "/;", RowBox[List["k", "\[Element]", "Integers"]]]]]]

 MathML Form

 z ( Ζ ( z m ) , - sin - 1 ( 1 m ) + 2 π k ) 2 /; k Condition Subscript z JacobiZeta z m -1 1 m 1 2 -1 2 k 2 k [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["RamificationIndex", "[", RowBox[List[RowBox[List["JacobiZeta", "[", RowBox[List["z_", ",", "m_"]], "]"]], ",", "z_", ",", RowBox[List[RowBox[List["-", RowBox[List["ArcSin", "[", FractionBox["1", SqrtBox["z_"]], "]"]]]], "+", RowBox[List["2", " ", "\[Pi]", " ", "k"]]]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["2", "/;", RowBox[List["k", "\[Element]", "Integers"]]]]]]]]

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

 2001-10-29