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 MoebiusMu

 http://functions.wolfram.com/13.07.06.0002.01

 Input Form

 MoebiusMu[n] == Sum[KroneckerDelta[GCD[n, k], 1] Cos[(2 Pi k)/n], {k, 1, n}]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["MoebiusMu", "[", "n", "]"]], "\[Equal]", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "n"], RowBox[List[RowBox[List["KroneckerDelta", "[", RowBox[List[RowBox[List["GCD", "[", RowBox[List["n", ",", "k"]], "]"]], ",", "1"]], "]"]], RowBox[List["Cos", "[", FractionBox[RowBox[List["2", " ", "\[Pi]", " ", "k"]], "n"], "]"]]]]]]]]]]

 MathML Form

 μ TagBox["\[Mu]", MoebiusMu] ( n ) k = 1 n δ KroneckerDelta gcd ( n , k ) , 1 cos ( 2 π k n ) MoebiusMu n k 1 n KroneckerDelta n k 1 2 k n -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["MoebiusMu", "[", "n_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "n"], RowBox[List[RowBox[List["KroneckerDelta", "[", RowBox[List[RowBox[List["GCD", "[", RowBox[List["n", ",", "k"]], "]"]], ",", "1"]], "]"]], " ", RowBox[List["Cos", "[", FractionBox[RowBox[List["2", " ", "\[Pi]", " ", "k"]], "n"], "]"]]]]]]]]]]

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

 2001-10-29