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Haowu, Wang
기하학 수리물리 연구단
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Reflective modular forms on lattices of prime level

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Title
Reflective modular forms on lattices of prime level
Author(s)
Haowu Wang
Publication Date
2022-02
Journal
Transactions of the American Mathematical Society, v.375, no.5, pp.3451 - 3468
Publisher
American Mathematical Society
Abstract
© 2022 American Mathematical Society.One of the main open problems in the theory of automorphic products is to classify reflective modular forms. Scheithauer [Invent. Math. 164 (2006), pp. 641-678] 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.
URI
https://pr.ibs.re.kr/handle/8788114/12163
DOI
10.1090/tran/8604
ISSN
0002-9947
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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