On an analogue of the Ichino-Ikeda conjecture for Whittaker coefficients on the metaplectic group

DOI10.2140/ant.2017.11.713zbMath1418.11076arXiv1404.2905OpenAlexW1813975265WikidataQ123133250 ScholiaQ123133250MaRDI QIDQ2397619

Erez M. Lapid, Zhengyu Mao

Publication date: 23 May 2017

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.2905

zbMATH Keywords

automorphic formsmetaplectic groupWhittaker coefficients

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Analysis on (p)-adic Lie groups (22E35) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (11)

Theta distinguished representations, inflation and the symmetric square \(L\)-function ⋮ The Whittaker period formula on metaplectic 𝑆𝐿₂ ⋮ ON A CERTAIN LOCAL IDENTITY FOR LAPID–MAO’S CONJECTURE AND FORMAL DEGREE CONJECTURE : EVEN UNITARY GROUP CASE ⋮ Spherical varieties, functoriality, and quantization ⋮ Theta lifting and Langlands functoriality ⋮ On Petersson norms of generic cusp forms and special values of adjoint L -functions for GSp4 ⋮ Refined global Gan–Gross–Prasad conjecture for Fourier–Jacobi periods on symplectic groups ⋮ Refined global Gross-Prasad conjecture on special Bessel periods and Böcherer's conjecture ⋮ Holonomicity of relative characters and applications to multiplicity bounds for spherical pairs ⋮ On the Waldspurger formula and the metaplectic Ramanujan conjecture over number fields ⋮ Vanishing of certain equivariant distributions on spherical spaces

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