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  Reflective modular forms on lattices of prime level

Wang, H. (2022). Reflective modular forms on lattices of prime level. Transactions of the American Mathematical Society, 375(5), 3451-3468. doi:10.1090/tran/8604.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000A-2226-5 Version Permalink: https://hdl.handle.net/21.11116/0000-000E-1D65-1
Genre: Journal Article

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1912.11220.pdf (Preprint), 227KB
 
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https://doi.org/10.1090/tran/8604 (Publisher version)
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 Creators:
Wang, Haowu1, 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: One of the main open problems in the theory of automorphic products is to
classify reflective modular forms. In [Sch06] Scheithauer classified strongly
reflective modular forms of singular weight on lattices of prime level. In this
paper we classify symmetric reflective modular forms on lattices of prime
level. This yields a full classification of lattices of prime level which have
reflective modular forms. We also present some applications.

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Language(s): eng - English
 Dates: 2022
 Publication Status: Issued
 Pages: 18
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1912.11220
DOI: 10.1090/tran/8604
 Degree: -

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Title: Transactions of the American Mathematical Society
Source Genre: Journal
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Publ. Info: American Mathematical Society
Pages: - Volume / Issue: 375 (5) Sequence Number: - Start / End Page: 3451 - 3468 Identifier: -