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Borcherds products of half-integral weight

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Title
Borcherds products of half-integral weight
Author(s)
Haowu Wang; Williams, Brandon
Publication Date
2022-09
Journal
JOURNAL OF NUMBER THEORY, v.238, pp.944 - 950
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
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. (C) 2021 Elsevier Inc. All rights reserved.
URI
https://pr.ibs.re.kr/handle/8788114/12718
DOI
10.1016/j.jnt.2021.10.008
ISSN
0022-314X
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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