On the lifting of Hilbert cusp forms to Hilbert-Siegel cusp forms

DOI10.24033/ASENS.2442zbMath1475.11078arXiv1512.08878OpenAlexW3123571890MaRDI QIDQ3389198

Shunsuke Yamana, Tamotsu Ikeda

Publication date: 10 May 2021

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.08878

zbMATH Keywords

degenerate principal seriesSaito-Kurokawa liftsShimura correspondencerepresentation numbersthe Siegel-Weil formulaeven unimodular latticesHilbert-Siegel cusp formsDuke-Imamoglu-Ikeda lifts

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (11)

An explicit formula for the Siegel series of a quadratic form over a non-Archimedean local field ⋮ An explicit lifting construction of CAP forms on O(1,5) ⋮ Estimates for the Fourier coefficients of the Duke-Imamoglu-Ikeda lift ⋮ Fourier-Jacobi periods of classical Saito-Kurokawa lifts ⋮ Higher level cusp forms on exceptional group of type \(E_7\) ⋮ Automorphic forms for some even unimodular lattices ⋮ Period relations for cusp forms of \(\operatorname{GSp_4}\) ⋮ Non-vanishing of Miyawaki type lifts ⋮ A theory of Miyawaki liftings: the Hilbert-Siegel case ⋮ Degenerate principal series and Langlands classification ⋮ On the Petersson norm of the Hilbert-Siegel cusp form under the Ikeda lift

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