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- W3050589311 abstract "We construct <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=left-parenthesis n plus 1 right-parenthesis> <mml:semantics> <mml:mrow> <mml:mo stretchy=false>(</mml:mo> <mml:mi>n</mml:mi> <mml:mo>+</mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>(n+1)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-variable Hida families of Klingen Eisenstein series on <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper S p left-parenthesis 2 n plus 2 right-parenthesis> <mml:semantics> <mml:mrow> <mml:mi>Sp</mml:mi> <mml:mo><!-- --></mml:mo> <mml:mo stretchy=false>(</mml:mo> <mml:mn>2</mml:mn> <mml:mi>n</mml:mi> <mml:mo>+</mml:mo> <mml:mn>2</mml:mn> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>operatorname {Sp}(2n+2)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> for <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=n> <mml:semantics> <mml:mi>n</mml:mi> <mml:annotation encoding=application/x-tex>n</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-variable Hida families on <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper S p left-parenthesis 2 n right-parenthesis> <mml:semantics> <mml:mrow> <mml:mi>Sp</mml:mi> <mml:mo><!-- --></mml:mo> <mml:mo stretchy=false>(</mml:mo> <mml:mn>2</mml:mn> <mml:mi>n</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>operatorname {Sp}(2n)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, and relate their images under the Siegel operator to <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=p> <mml:semantics> <mml:mi>p</mml:mi> <mml:annotation encoding=application/x-tex>p</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-adic <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper L> <mml:semantics> <mml:mi>L</mml:mi> <mml:annotation encoding=application/x-tex>L</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-functions. We also carry out some preliminary calculations of the non-degenerate Fourier coefficients of the constructed Klingen Eisenstein families." @default.
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- W3050589311 date "2021-02-24" @default.
- W3050589311 modified "2023-10-16" @default.
- W3050589311 title "Ordinary families of Klingen Eisenstein series on symplectic groups" @default.
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