mathmlben

<math xmlns='http://www.w3.org/1998/Math/MathML'> <semantics> <mrow> <mrow> <msub> <mi>A</mi> <mi>k</mi> </msub> <mo>(</mo> <mi>n</mi> <mo>)</mo> </mrow> <mo></mo> <mrow> <munder> <mo>∑</mo> <semantics> <mrow> <mo>(</mo> <mtable rowspacing='1ex' columnspacing='1em' rowalign='baseline' columnalign='center'> <mtr> <mtd> <mrow> <mn>1</mn> <mtext></mtext> <mo><</mo> <mtext></mtext> <mi>h</mi> <mtext></mtext> <mo>≤</mo> <mtext></mtext> <mi>k</mi> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mrow> <mo>(</mo> <mrow> <mi>h</mi> <mo>,</mo> <mi>k</mi> </mrow> <mo>)</mo> </mrow> <mtext></mtext> <mo></mo> <mtext></mtext> <mn>1</mn> </mrow> </mtd> </mtr> </mtable> <mo>)</mo> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci>ExpressionCell</ci> <apply> <ci>TraditionalForm</ci> <list> <list> <apply> <ci>TextCell</ci> <apply> <ci>RawBoxes</ci> <apply> <ci>Cell</ci> <apply> <ci>BoxData</ci> <list> <ms>1</ms> <ms></ms> <ms><</ms> <ms></ms> <apply> <ci>StyleBox</ci> <ms>h</ms> <ms>TI</ms> </apply> <ms></ms> <ms>≤</ms> <ms></ms> <apply> <ci>StyleBox</ci> <ms>k</ms> <ms>TI</ms> </apply> </list> </apply> <ms>InlineFormula</ms> </apply> </apply> </apply> </list> <list> <apply> <ci>TextCell</ci> <apply> <ci>RawBoxes</ci> <apply> <ci>Cell</ci> <apply> <ci>BoxData</ci> <list> <apply> <ci>RowBox</ci> <list> <ms>(</ms> <apply> <ci>RowBox</ci> <list> <apply> <ci>StyleBox</ci> <ms>h</ms> <ms>TI</ms> </apply> <ms>,</ms> <apply> <ci>StyleBox</ci> <ms>k</ms> <ms>TI</ms> </apply> </list> </apply> <ms>)</ms> </list> </apply> <ms></ms> <ms></ms> <ms></ms> <ms>1</ms> </list> </apply> <ms>InlineFormula</ms> </apply> </apply> </apply> </list> </list> </apply> </apply> </annotation-xml> </semantics> </munder> <msup> <mi>e</mi> <mrow> <mrow> <mi>π</mi> <mo>⁢</mo> <mi>i</mi> <mo>⁢</mo> <mrow> <mi>f</mi> <mo>⁡</mo> <mo>(</mo> <mrow> <mi>h</mi> <mo>,</mo> <mi>k</mi> </mrow> <mo>)</mo> </mrow> </mrow> <mo>-</mo> <mfrac> <mrow> <mn>2</mn> <mo>⁢</mo> <mi>π</mi> <mo>⁢</mo> <mi>h</mi> <mo>⁢</mo> <mi>i</mi> <mo>⁢</mo> <mi>n</mi> </mrow> <mi>k</mi> </mfrac> </mrow> </msup> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <apply> <ci>Subscript</ci> <ci>A</ci> <ci>k</ci> </apply> <ci>n</ci> </apply> <apply> <sum /> <bvar> <apply> <ci>ExpressionCell</ci> <apply> <ci>TraditionalForm</ci> <list> <list> <apply> <ci>TextCell</ci> <apply> <ci>RawBoxes</ci> <apply> <ci>Cell</ci> <apply> <ci>BoxData</ci> <list> <ms>1</ms> <ms></ms> <ms><</ms> <ms></ms> <apply> <ci>StyleBox</ci> <ms>h</ms> <ms>TI</ms> </apply> <ms></ms> <ms>≤</ms> <ms></ms> <apply> <ci>StyleBox</ci> <ms>k</ms> <ms>TI</ms> </apply> </list> </apply> <ms>InlineFormula</ms> </apply> </apply> </apply> </list> <list> <apply> <ci>TextCell</ci> <apply> <ci>RawBoxes</ci> <apply> <ci>Cell</ci> <apply> <ci>BoxData</ci> <list> <apply> <ci>RowBox</ci> <list> <ms>(</ms> <apply> <ci>RowBox</ci> <list> <apply> <ci>StyleBox</ci> <ms>h</ms> <ms>TI</ms> </apply> <ms>,</ms> <apply> <ci>StyleBox</ci> <ms>k</ms> <ms>TI</ms> </apply> </list> </apply> <ms>)</ms> </list> </apply> <ms></ms> <ms></ms> <ms></ms> <ms>1</ms> </list> </apply> <ms>InlineFormula</ms> </apply> </apply> </apply> </list> </list> </apply> </apply> </bvar> <apply> <power /> <ci>e</ci> <apply> <plus /> <apply> <times /> <pi /> <ci>i</ci> <apply> <ci>f</ci> <ci>h</ci> <ci>k</ci> </apply> </apply> <apply> <times /> <cn type='integer'>-1</cn> <apply> <times /> <cn type='integer'>2</cn> <pi /> <ci>h</ci> <ci>i</ci> <ci>n</ci> <apply> <power /> <ci>k</ci> <cn type='integer'>-1</cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>