Periods of Saito–Kurokawa Representations

DOI10.1093/imrn/rnt179zbMath1370.11060OpenAlexW2091661896MaRDI QIDQ2937705

Yannan Qiu

Publication date: 12 January 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnt179

zbMATH Keywords

periodSaito-Kurokawa representations

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (14)

Quantum variance for dihedral Maass forms ⋮ The Whittaker period formula on metaplectic 𝑆𝐿₂ ⋮ Fourier-Jacobi periods of classical Saito-Kurokawa lifts ⋮ Refined global Gan–Gross–Prasad conjecture for Fourier–Jacobi periods on symplectic groups ⋮ Bounds for twisted symmetric square L-functions via half-integral weight periods ⋮ The regularized Siegel-Weil formula (the second term identity) and the Rallis inner product formula ⋮ AUTOMORPHIC SL ₂ ‐PERIODS AND THE SUBCONVEXITY PROBLEM FOR GL ₂ × GL ₃ ⋮ The spectral decomposition of \(|\theta |^2\) ⋮ Pullback formulae for nearly holomorphic Saito-Kurokawa lifts ⋮ A theory of Miyawaki liftings: the Hilbert-Siegel case ⋮ Central values of degree six \(L\)-functions ⋮ Subconvex equidistribution of cusp forms: reduction to Eisenstein observables ⋮ Pullbacks of Saito-Kurokawa lifts and a central value formula for degree 6 \(L\)-series ⋮ The non-tempered \(\theta_{10}\) Arthur parameter and Gross-Prasad conjectures

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