Pullbacks of Saito-Kurokawa lifts and a central value formula for degree 6 \(L\)-series

DOI10.25537/dm.2019v24.1935-2036zbMath1472.11157arXiv1804.02352MaRDI QIDQ2333838

Carlos de Vera-Piquero, Aprameyo Pal

Publication date: 13 November 2019

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.02352

zbMATH Keywords

Saito-Kurokawa liftsautomorphic periodsGross-Prasad conjecturecentral value formula

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30)

Related Items (5)

Algebraicity of the central critical values of twisted triple product \(L\)-functions ⋮ On \(p\)-adic \(L\)-functions for \(\text{GL}(2)\times\text{GL}(3)\) via pullbacks of Saito-Kurokawa lifts ⋮ AUTOMORPHIC SL ₂ ‐PERIODS AND THE SUBCONVEXITY PROBLEM FOR GL ₂ × GL ₃ ⋮ Pullback formulae for nearly holomorphic Saito-Kurokawa lifts ⋮ \(p\)-adic families of \(\mathfrak{d}\)th Shintani liftings

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