Borcherds products of half-integral weight

DOI10.1016/j.jnt.2021.10.008OpenAlexW3216745922WikidataQ114156679 ScholiaQ114156679MaRDI QIDQ2162827

Haowu Wang, Brandon Williams

Publication date: 9 August 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.00055

zbMATH Keywords

Jacobi formsBorcherds productsvector valued modular forms

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55)

Related Items (1)

Modular forms on \(\mathrm{SU}(2,1)\) with weight \(\frac{1}{3}\)

Uses Software

• SageMath

Cites Work

• Automorphic forms with singularities on Grassmannians
• Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
• On the classification of automorphic products and generalized Kac-Moody algebras
• Low-dimensional lattices V. Integral coordinates for integral lattices
• AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART II
• Borcherds products with prescribed divisor
• Quasi‐pullback of Borcherds products
• Reflective modular forms and applications

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