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 EulerPhi

 http://functions.wolfram.com/13.06.06.0004.01

 Input Form

 EulerPhi[n] == Sum[Floor[1/GCD[k, n]], {k, 1, n}] /; Element[n, Integers] && n >= 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["EulerPhi", "[", "n", "]"]], "\[Equal]", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "n"], RowBox[List["Floor", "[", FractionBox["1", RowBox[List["GCD", "[", RowBox[List["k", ",", "n"]], "]"]]], "]"]]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]

 MathML Form

 ϕ TagBox["\[Phi]", EulerPhi] ( n ) k = 1 n 1 gcd ( k , n ) /; n Condition EulerPhi n k 1 n 1 k n -1 n [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["EulerPhi", "[", "n_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "n"], RowBox[List["Floor", "[", FractionBox["1", RowBox[List["GCD", "[", RowBox[List["k", ",", "n"]], "]"]]], "]"]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]]]

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

 2001-10-29