Binary theta functions and Borcherds products

DOI10.1016/j.jnt.2023.02.004OpenAlexW4353051721MaRDI QIDQ2700689

Brandon Williams, Markus Schwagenscheidt

Publication date: 27 April 2023

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

Full work available at URL: https://arxiv.org/abs/2211.14787

zbMATH Keywords

theta functionsBorcherds products

Mathematics Subject Classification ID

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

Cites Work

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• The theory of Jacobi forms
• Modular forms on half-spaces of quaternions
• Automorphic forms with singularities on Grassmannians
• Die Nullstellen der Thetareihen zu positiven, binär-quadratischen Formen. (Zeros of theta series for positive binary quadratic forms)
• The zeros of theta functions belonging to binary-Hermitian forms over \(\mathbb{Z}[i\)]
• Some modular varieties of low dimension
• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
• Modular lattices in Euclidean spaces
• Some constructions of modular forms for the Weil representation of SL₂(ℤ)
• AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART II
• Quasi‐pullback of Borcherds products
• Holomorphic Borcherds products of singular weight for simple lattices of arbitrary level
• THETA SERIES OVER THE HURWITZ QUATERNIONS

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