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 Khinchin

 http://functions.wolfram.com/02.09.06.0003.01

 Input Form

 Khinchin == Exp[(1/Log[2]) Sum[(((-1)^k (2 - 2^k))/k) Derivative[1][Zeta][k], {k, 2, Infinity}]]

 Standard Form

 Cell[BoxData[RowBox[List["Khinchin", "\[Equal]", RowBox[List["Exp", "[", RowBox[List[FractionBox["1", RowBox[List["Log", "[", "2", "]"]]], RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "2"]], "\[Infinity]"], RowBox[List[FractionBox[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "k"], RowBox[List["(", RowBox[List["2", "-", SuperscriptBox["2", "k"]]], ")"]]]], "k"], " ", RowBox[List[SuperscriptBox["Zeta", "\[Prime]", Rule[MultilineFunction, None]], "[", "k", "]"]]]]]]]], "]"]]]]]]

 MathML Form

 K TagBox["K", Function[List[], Khinchin]] exp ( 1 log ( 2 ) k = 2 ( - 1 ) k ( 2 - 2 k ) k ζ ( k ) ) Khinchin 1 2 -1 k 2 -1 k 2 -1 2 k k -1 k Zeta k [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "Khinchin", "]"]], "\[RuleDelayed]", SuperscriptBox["\[ExponentialE]", FractionBox[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "2"]], "\[Infinity]"], FractionBox[RowBox[List[RowBox[List["(", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "k"], " ", RowBox[List["(", RowBox[List["2", "-", SuperscriptBox["2", "k"]]], ")"]]]], ")"]], " ", RowBox[List[SuperscriptBox["Zeta", "\[Prime]", Rule[MultilineFunction, None]], "[", "k", "]"]]]], "k"]]], RowBox[List["Log", "[", "2", "]"]]]]]]]]

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

 2001-10-29