The theta cycles for modular forms modulo prime powers
- 주제(키워드) Reduction of modular forms modulo prime powers , theta cycles
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 De Gruyter Open Ltd
- 발행년도 2023
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000209754
- 본문언어 영어
- Published As https://doi.org/10.1515/forum-2021-0284
초록/요약
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.
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