컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0138 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | (SS-01) Algebraic Number Theory and Related Topics (SS-01) |
| 발표시간(Time) | 20th-D-13:40 -- 14:10 |
| 영문제목 (Title(Eng.)) |
Arithmetic properties of generalized Hecke operators |
| 저자(Author(s)) |
Chang Heon Kim1, Kyeong Seok Min1 Sungkyunkwan University1 |
| 초록본문(Abstract) | The concept of generalized Hecke operators came from the replication formula in Monstruous moonshine. Recently, Daeyeol Jeon, Soon-Yi Kang and Chang Heon Kim extended these Hecke operators to higher genus modular curves. Specifically, they defined generalized Hecke operators acting on the Niebur-Poincar\'e series. So far, we only considered the weight 0 case. In this talk, we will introduce generalized Hecke operators for arbitrary integer weight $k$ and give some arithmetic properties and applications. This is joint work with Chang Heon Kim. |
| 분류기호 (MSC number(s)) |
11F11 |
| 키워드(Keyword(s)) | Harmonic Maass forms, Hecke system, modular functions, congruencesl modular grid, generating functions |
| 강연 형태 (Language of Session (Talk)) |
Korean |