Theta block conjecture for paramodular forms of weight 2

DOI10.1090/proc/14876zbMath1464.14046arXiv1812.08698OpenAlexW2982547618WikidataQ123290255 ScholiaQ123290255MaRDI QIDQ5221331

Haowu Wang, Valery Gritsenko

Publication date: 25 March 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.08698

zbMATH Keywords

Jacobi formsBorcherds productGritsenko liftparamodular forms

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta functions and abelian varieties (14K25) Other groups and their modular and automorphic forms (several variables) (11F55) Fourier coefficients of automorphic forms (11F30) Jacobi forms (11F50)

Related Items (4)

The classification of 2-reflective modular forms ⋮ On some free algebras of orthogonal modular forms. II ⋮ Antisymmetric paramodular forms of weight 3 ⋮ Theta blocks related to root systems

Cites Work

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• Modular forms of orthogonal type and Jacobi theta-series
• Borcherds products everywhere
• Abelianisation of orthogonal groups and the fundamental group of modular varieties
• The theory of Jacobi forms
• Infinite-dimensional Lie algebras, theta functions and modular forms
• Automorphic forms with singularities on Grassmannians
• Generalized Kac--Moody algebras, automorphic forms and Conway's group. I
• Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
• The Kodaira dimension of the moduli of \(K3\) surfaces
• On the classification of automorphic products and generalized Kac-Moody algebras
• Uniruledness of orthogonal modular varieties
• Moduli of K3 Surfaces and Irreducible Symplectic Manifolds
• AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART II
• THETA BLOCK FOURIER EXPANSIONS, BORCHERDS PRODUCTS AND A SEQUENCE OF NEWMAN AND SHANKS
• Conjecture on theta-blocks of order 1
• Lorentzian Kac-Moody algebras with Weyl groups of 2-reflections
• Reflective modular forms and applications

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