Saito-Kurokawa liftings of level \(N\) and practical construction of Jacobi forms

DOI10.1215/21562261-1503791zbMath1284.11085OpenAlexW2011459083MaRDI QIDQ2428707

Tomoyoshi Ibukiyama

Publication date: 20 April 2012

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kjm/1329684746

zbMATH Keywords

Jacobi formsSaito-Kurokawa liftSiegel modular forms, Hecke operators

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Fourier coefficients of automorphic forms (11F30) Jacobi forms (11F50)

Related Items

Maass relations for Saito-Kurokawa lifts of higher levels ⋮ The Saito-Kurokawa lifting and Darmon points ⋮ Ap-ADIC HERMITIAN MAASS LIFT ⋮ \(\Lambda\)-adic families of Jacobi forms ⋮ Level stripping for Siegel modular forms with reducible Galois representations ⋮ Jacobi forms, Saito-Kurokawa lifts, their pullbacks and sup-norms on average ⋮ On \(p\)-adic Hermitian Eisenstein series and \(p\)-adic Siegel cusp forms ⋮ On newforms and Saito-Kurokawa lifts ⋮ On \(p\)-adic \(L\)-functions for \(\text{GL}(2)\times\text{GL}(3)\) via pullbacks of Saito-Kurokawa lifts ⋮ Hermitian Maass lift for general level ⋮ Paramodular forms in CAP representations of ${\rm GSp}(4)$ ⋮ Saito-Kurokawa lifts of square-free level ⋮ Maass Spezialschar of level \(N\) ⋮ ON CHARACTERIZATION OF SIEGEL CUSP FORMS OF DEGREE 2 BY THE HECKE BOUND ⋮ Some congruences for Saito-Kurokawa lifts ⋮ Mixed-level Saito-Kurokawa liftings ⋮ Conjectures on correspondence of symplectic modular forms of middle parahoric type and Ihara lifts ⋮ An explicit arithmetic formula for the Fourier coefficients of Siegel-Eisenstein series of degree two and square-free odd levels ⋮ Special values of L-functions for Saito–Kurokawa lifts ⋮ Pullbacks of Saito-Kurokawa lifts and a central value formula for degree 6 \(L\)-series ⋮ An explicit computation of \(p\)-stabilized vectors

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