A basis for the space of weakly holomorphic Drinfeld modular forms of level <i>T</i>

doi:10.1016/j.jnt.2023.11.003

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	A basis for the space of weakly holomorphic Drinfeld modular forms of level T
	Dalal, Tarun
	2024-05
发表期刊	JOURNAL OF NUMBER THEORY (IF:0.6[JCR-2023],0.7[5-Year])
ISSN	0022-314X
EISSN	1096-1658
卷号	258 页码:122-145
发表状态	已发表
DOI	10.1016/j.jnt.2023.11.003
摘要	In this article, we explicitly construct a canonical basis for the space of certain weakly holomorphic Drinfeld modular forms for Gamma 0(ï¿½) (resp., for Gamma 0+(ï¿½)) and compute the generating function satisfied by the basis elements. We also give an explicit expression for the action of the Theta-operator, which depends on the divisor of meromorphic Drinfeld modular forms.
关键词	Drinfeld modular forms Weakly holomorphic Generating function Theta operator
URL	查看原文
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:001157505100001
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/349858
专题	数学科学研究所数学科学研究所_PI研究组(P)_Tarun Dalal组
通讯作者	Dalal, Tarun
作者单位	ShanghaiTech Univ, Inst Math Sci, 393 Middle Huaxia Rd, Shanghai 201210, Peoples R China
第一作者单位	数学科学研究所
通讯作者单位	数学科学研究所
第一作者的第一单位	数学科学研究所
推荐引用方式 GB/T 7714	Dalal, Tarun. A basis for the space of weakly holomorphic Drinfeld modular forms of level T[J]. JOURNAL OF NUMBER THEORY,2024,258:122-145.
APA	Dalal, Tarun.(2024).A basis for the space of weakly holomorphic Drinfeld modular forms of level T.JOURNAL OF NUMBER THEORY,258,122-145.
MLA	Dalal, Tarun."A basis for the space of weakly holomorphic Drinfeld modular forms of level T".JOURNAL OF NUMBER THEORY 258(2024):122-145.