Bessel periods and anticyclotomic $p$-adic spinor $L$-functions (Q6571613)

scientific article; zbMATH DE number 7880409

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English	Bessel periods and anticyclotomic $p$-adic spinor $L$-functions	scientific article; zbMATH DE number 7880409

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title

Bessel periods and anticyclotomic $p$-adic spinor $L$-functions (English)

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Transactions of the American Mathematical Society

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publication date

12 July 2024

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zbMATH Keywords

Böcherer conjecture

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spinor $L$-functions

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$p$-adic

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$L$-functions

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Publication

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cites work

The endoscopic classification of representations. Orthogonal and symplectic groups

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Paramodular abelian varieties of odd conductor

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Special values of anticyclotomic $L$-functions for modular forms

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Explicit refinements of Böcherer's conjecture for Siegel modular forms of squarefree level

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On special Bessel periods and the Gross-Prasad conjecture for $\mathrm {SO}(2n+1) \times \mathrm {SO}(2)$

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Refined global Gross-Prasad conjecture on special Bessel periods and Böcherer's conjecture

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Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups

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On the motive of a reductive group

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A conjecture on Whittaker-Fourier coefficients of cusp forms

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Refined global Gan-Gross-Prasad conjecture for Bessel periods

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Special values of anticyclotomic Rankin-Selberg $L$-functions

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An explicit computation of $p$-stabilized vectors

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Jacquet-Langlands-Shimizu correspondence for theta lifts to $\mathrm{GSp}(2)$ and its inner forms I: an explicit functorial correspondence

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Bessel Models for Lowest Weight Representations of

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Local newforms for $\text{GSp}(4)$

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Induced representations and classification for $GSp(2,F)$ and $Sp(2,F)$

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Iwahori-spherical representations of $\mathrm{GSp}(4)$ and Siegel modular forms of degree 2 with square-free level

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Siegel series for skew Hermitian forms over quaternion algebras

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Mathematics(1 entry)

mardi Publication:6571613

Bessel periods and anticyclotomic \(p\)-adic spinor \(L\)-functions (Q6571613)

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Mathematics(1 entry)