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  Borcherds products of half-integral weight

Wang, H., & Williams, B. (2022). Borcherds products of half-integral weight. Journal of Number Theory, 238, 944-950. doi:10.1016/j.jnt.2021.10.008.

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arXiv:2007.00055.pdf (Preprint), 271KB
 
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 Creators:
Wang, Haowu1, Author           
Williams, Brandon, Author
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Number Theory
 Abstract: We give a necessary and sufficient criterion for the existence of Borcherds
products of half-integral weight associated to even lattices that split two
hyperbolic planes. In particular we prove that half-integral weight Borcherds
products exist for lattices of arbitrary rank.

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Language(s): eng - English
 Dates: 2022
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2007.00055
DOI: 10.1016/j.jnt.2021.10.008
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Title: Journal of Number Theory
Source Genre: Journal
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Publ. Info: Elsevier
Pages: - Volume / Issue: 238 Sequence Number: - Start / End Page: 944 - 950 Identifier: -