Holomorphic Borcherds products of singular weight for simple lattices of arbitrary level

DOI10.1090/proc/14650zbMath1470.11084arXiv1810.06290OpenAlexW3106183332WikidataQ128062832 ScholiaQ128062832MaRDI QIDQ5234960

Markus Schwagenscheidt, Sebastian Opitz

Publication date: 7 October 2019

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

Full work available at URL: https://arxiv.org/abs/1810.06290

zbMATH Keywords

Eisenstein seriesBorcherds productssimple lattices

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27)

Related Items (4)

Orthogonal Eisenstein series at harmonic points and modular forms of singular weight ⋮ Simple lattices and free algebras of modular forms ⋮ The classification of 2-reflective modular forms ⋮ Binary theta functions and Borcherds products

Uses Software

• GitHub
• sfqm
• eisenstein_series

Cites Work

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• Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
• On the classification of automorphic products and generalized Kac-Moody algebras
• Automorphic products of singular weight for simple lattices
• Lattices with many Borcherds products
• AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART II
• Reflective automorphic forms on lattices of squarefree level
• Automorphic products of singular weight
• Cones of Heegner divisors
• Eisenstein series attached to lattices and modular forms on orthogonal groups

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