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http://functions.wolfram.com/10.06.04.0024.01
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RamificationIndex[LerchPhiClassical[(Editable -> True)[z],
(Editable -> True)[s], (Editable -> True)[a]], z, 1] == Log /;
!Element[s, Integers] && !Element[s, Rationals]
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Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["RamificationIndex", "[", RowBox[List[RowBox[List["LerchPhiClassical", "[", RowBox[List[TagBox["z", Rule[Editable, True]], ",", TagBox["s", Rule[Editable, True]], ",", TagBox["a", Rule[Editable, True]]]], "]"]], ",", "z", ",", "1"]], "]"]], "\[Equal]", "Log"]], "/;", RowBox[List[RowBox[List["Not", "[", RowBox[List["Element", "[", RowBox[List["s", ",", "Integers"]], "]"]], "]"]], "\[And]", RowBox[List["Not", "[", RowBox[List["Element", "[", RowBox[List["s", ",", "Rationals"]], "]"]], "]"]]]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <msub> <mi> ℛ </mi> <mi> z </mi> </msub> <mo> ( </mo> <mrow> <mrow> <mover> <mi> Φ </mi> <mo> ^ </mo> </mover> <mo> ( </mo> <mrow> <semantics> <mi> z </mi> <annotation encoding='Mathematica'> TagBox["z", Rule[Editable, True]] </annotation> </semantics> <mo> , </mo> <semantics> <mi> s </mi> <annotation encoding='Mathematica'> TagBox["s", Rule[Editable, True]] </annotation> </semantics> <mo> , </mo> <semantics> <mi> a </mi> <annotation encoding='Mathematica'> TagBox["a", Rule[Editable, True]] </annotation> </semantics> </mrow> <mo> ) </mo> </mrow> <mo> , </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mi> log </mi> </mrow> <mo> /; </mo> <mrow> <mrow> <mi> s </mi> <mo> ∉ </mo> <semantics> <mi> ℤ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] </annotation> </semantics> </mrow> <mo> ∧ </mo> <mrow> <mi> s </mi> <mo> ∉ </mo> <semantics> <mi> ℚ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalQ]", Function[Rationals]] </annotation> </semantics> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <apply> <ci> Subscript </ci> <ci> ℛ </ci> <ci> z </ci> </apply> <apply> <apply> <ci> OverHat </ci> <ci> Φ </ci> </apply> <apply> <apply> <ci> Rule </ci> <ci> Editable </ci> <true /> </apply> <ci> z </ci> </apply> <apply> <apply> <ci> Rule </ci> <ci> Editable </ci> <true /> </apply> <ci> s </ci> </apply> <apply> <apply> <ci> Rule </ci> <ci> Editable </ci> <true /> </apply> <ci> a </ci> </apply> </apply> <cn type='integer'> 1 </cn> </apply> <ci> log </ci> </apply> <apply> <and /> <apply> <notin /> <ci> s </ci> <integers /> </apply> <apply> <notin /> <ci> s </ci> <rationals /> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["RamificationIndex", "[", RowBox[List[RowBox[List["LerchPhiClassical", "[", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["Editable", "\[Rule]", "True"]], ")"]], "[", "z_", "]"]], ",", RowBox[List[RowBox[List["(", RowBox[List["Editable", "\[Rule]", "True"]], ")"]], "[", "s_", "]"]], ",", RowBox[List[RowBox[List["(", RowBox[List["Editable", "\[Rule]", "True"]], ")"]], "[", "a_", "]"]]]], "]"]], ",", "z_", ",", "1"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["Log", "/;", RowBox[List[RowBox[List["!", RowBox[List["s", "\[Element]", "Integers"]]]], "&&", RowBox[List["!", RowBox[List["s", "\[Element]", "Rationals"]]]]]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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