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자연과학대학
수학전공
Journal papers
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The theta cycles for modular forms modulo prime powers
Title
The theta cycles for modular forms modulo prime powers
Authors
Kim J.
;
Lee Y.
Ewha Authors
이윤진
SCOPUS Author ID
이윤진
Issue Date
2023
Journal Title
Forum Mathematicum
ISSN
0933-7741
Citation
Forum Mathematicum vol. 35, no. 3, pp. 591 - 613
Keywords
Reduction of modular forms modulo prime powers
;
theta cycles
Publisher
De Gruyter Open Ltd
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
Recently, Chen and Kiming studied the theta operator on modular forms modulo prime powers p m {p{m}}, where p ≥ 5 {p\geq 5} and m ≥ 2 {m\geq 2}. In this paper, we study mod p m {p{m}} filtrations and mod p m {p{m}} theta cycles. We give a bound on some elements in the mod p m {p{m}} theta cycle (m ≥ 2 {m\geq 2}), and we exactly compute those values in the case that m = 2 {m=2}. © 2023 Walter de Gruyter GmbH, Berlin/Boston.
DOI
10.1515/forum-2021-0284
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