A CONVERSE THEOREM FOR BORCHERDS PRODUCTS ON

DOI10.1017/nmj.2019.3zbMath1453.11057arXiv1806.09577OpenAlexW3103358254MaRDI QIDQ5135402

Markus Schwagenscheidt, Jan Hendrik Bruinier

Publication date: 20 November 2020

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.09577

zbMATH Keywords

Heegner divisorsBorcherds productsFricke-invariant meromorphic modular

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27)

Related Items (2)

Hecke equivariance of generalized Borcherds products of type \(O(2,1)\) ⋮ Mock modular forms with integral Fourier coefficients

Cites Work

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• On the converse theorem for Borcherds products
• Algebraic formulas for the coefficients of mock theta functions and Weyl vectors of Borcherds products
• Heegner divisors, \(L\)-functions and harmonic weak Maass forms
• The theory of Jacobi forms
• Zum Periodenproblem
• Jacobi forms and a certain space of modular forms
• Automorphic forms with singularities on Grassmannians
• The rationality of vector valued modular forms associated with the Weil representation
• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• On two geometric theta lifts
• A Characterization of Holomorphic Borcherds Lifts by Symmetries
• Fourier coefficients of Eisenstein series on non-congruence subgroups
• Local Borcherds products

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