Automorphic products of singular weight

DOI10.1112/S0010437X17007266zbMath1415.11073OpenAlexW2726439383MaRDI QIDQ5360283

Nils R. Scheithauer

Publication date: 28 September 2017

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

Full work available at URL: https://doi.org/10.1112/s0010437x17007266

zbMATH Keywords

modular formsautomorphic forms on orthogonal groupsgeneralised Kac-Moody algebrassingular theta correspondence

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Modular and automorphic functions (11F03) Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55)

Related Items (12)

On the Kodaira dimension of orthogonal modular varieties ⋮ Reflective modular forms on lattices of prime level ⋮ Eisenstein series for the Weil representation ⋮ Orthogonal Eisenstein series at harmonic points and modular forms of singular weight ⋮ The classification of 2-reflective modular forms ⋮ Antisymmetric paramodular forms of weight 3 ⋮ Reflective automorphic forms on lattices of squarefree level ⋮ Reflective modular forms and applications ⋮ Holomorphic Borcherds products of singular weight for simple lattices of arbitrary level ⋮ Conway invariant Jacobi forms on the Leech lattice ⋮ The classification of free algebras of orthogonal modular forms ⋮ Dimension formulae and generalised deep holes of the Leech lattice vertex operator algebra

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