On the Kohnen plus space for Hilbert modular forms of half-integral weight I

DOI10.1112/S0010437X13007276zbMath1368.11044MaRDI QIDQ2873596

Tamotsu Ikeda, Kaoru Hiraga

Publication date: 24 January 2014

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

zbMATH Keywords

Jacobi formsHilbert modular formsKohnen plus spacemodular forms of half-integral weight

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30) Jacobi forms (11F50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (16)

On linear relations for special L-values over certain totally real number fields ⋮ Proofs of Ibukiyama's conjectures on Siegel modular forms of half-integral weight and of degree 2 ⋮ An explicit Waldspurger formula for Hilbert modular forms ⋮ Newforms in the Kohnen plus space ⋮ Higher level cusp forms on exceptional group of type \(E_7\) ⋮ On linear relations for \(L\)-values over real quadratic fields ⋮ Cusp forms on the exceptional group of type ⋮ The Kohnen plus space for Hilbert-Siegel modular forms ⋮ Preimages for the Shimura map on Hilbert modular forms ⋮ An explicit Waldspurger formula for Hilbert modular forms. II ⋮ On the Waldspurger formula and the metaplectic Ramanujan conjecture over number fields ⋮ On the Petersson norm of the Hilbert-Siegel cusp form under the Ikeda lift ⋮ Effective construction of Hilbert modular forms of half-integral weight ⋮ On multiplier systems and theta functions of half-integral weight for the Hilbert modular group \(\operatorname{SL}_2(\mathfrak{o})\) ⋮ On Jacobi forms of half-integral weight and matrix level ⋮ Nonvanishing of twists of -functions attached to Hilbert modular forms

Cites Work

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