Refined global Gan-Gross-Prasad conjecture for Bessel periods

DOI10.1515/crelle-2014-0016zbMath1404.11065OpenAlexW2319368683WikidataQ123201291 ScholiaQ123201291MaRDI QIDQ305156

Yifeng Liu

Publication date: 29 August 2016

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle-2014-0016

zbMATH Keywords

\(L\)-functionscentral valuesGan-Gross-Prasad conjectureautomorphic periodsBessel periods

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items

Fourier-Jacobi periods and the central value of Rankin-Selberg \(L\)-functions ⋮ CONGRUENCES OF SAITO–KUROKAWA LIFTS AND DENOMINATORS OF CENTRAL SPINORL-VALUES ⋮ The Whittaker period formula on metaplectic 𝑆𝐿₂ ⋮ On special Bessel periods and the Gross-Prasad conjecture for \(\mathrm {SO}(2n+1) \times \mathrm {SO}(2)\) ⋮ Explicit refinements of Böcherer's conjecture for Siegel modular forms of squarefree level ⋮ Relative trace formulae toward Bessel and Fourier-Jacobi periods on unitary groups ⋮ ON FUNDAMENTAL FOURIER COEFFICIENTS OF SIEGEL CUSP FORMS OF DEGREE 2 ⋮ Relative trace formulae and the Gan-Gross-Prasad conjectures ⋮ Fourier-Jacobi periods of classical Saito-Kurokawa lifts ⋮ Refined global Gan–Gross–Prasad conjecture for Fourier–Jacobi periods on symplectic groups ⋮ A proof of the refined Gan-Gross-Prasad conjecture for non-endoscopic Yoshida lifts ⋮ On local descent to metaplectic groups and local theta correspondence ⋮ Refined global Gross-Prasad conjecture on special Bessel periods and Böcherer's conjecture ⋮ Algebraicity of critical values of adjoint \(L\)-functions for \(\mathrm{GSp}_4\) ⋮ On \(L\)-functions for \(U_{2n+1} \times \text{Res}_{E/F} \text{GL}_m (m > n)\)

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