RiemannSiegelTheta[-(I/2)] == DirectedInfinity[Complex[0, -1]]

Cell[BoxData[RowBox[List[RowBox[List["RiemannSiegelTheta", "[", RowBox[List["-", FractionBox["\[ImaginaryI]", "2"]]], "]"]], "\[Equal]", InterpretationBox[RowBox[List["\[ImaginaryI]", " ", "\[Infinity]"]], DirectedInfinity[Complex[0, -1]]]]]]]

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <semantics> <mi> &#977; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[CurlyTheta]&quot;, RiemannSiegelTheta] </annotation> </semantics> <mo> ( </mo> <mrow> <mo> - </mo> <mfrac> <mi> &#8520; </mi> <mn> 2 </mn> </mfrac> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <semantics> <mrow> <mi> &#8520; </mi> <mo> &#8290; </mo> <mi> &#8734; </mi> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> DirectedInfinity </ci> <cn type='complex-cartesian'> 0 <sep /> -1 </cn> </apply> </annotation-xml> </semantics> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> RiemannSiegelTheta </ci> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <imaginaryi /> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> <apply> <ci> DirectedInfinity </ci> <cn type='complex-cartesian'> 0 <sep /> -1 </cn> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["RiemannSiegelTheta", "[", RowBox[List["-", FractionBox["\[ImaginaryI]", "2"]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["DirectedInfinity", "[", RowBox[List["Complex", "[", RowBox[List["0", ",", RowBox[List["-", "1"]]]], "]"]], "]"]]]]]]

2001-10-29