"Automorphic L-function"의 두 판 사이의 차이
둘러보기로 가기
검색하러 가기
imported>Pythagoras0 |
imported>Pythagoras0 |
||
| 6번째 줄: | 6번째 줄: | ||
* They were introduced by Langlands (1967, 1970, 1971) | * They were introduced by Langlands (1967, 1970, 1971) | ||
* generalizing the Dirichlet $L$-series of a Dirichlet character and the Mellin transform of a modular form | * generalizing the Dirichlet $L$-series of a Dirichlet character and the Mellin transform of a modular form | ||
| + | |||
| + | |||
| + | [[분류:Automorphic forms]] | ||
2018년 6월 18일 (월) 18:30 판
introduction
- an automorphic L-function is a function $L(s,\pi,r)$
- complex variable $s$,
- associated to an automorphic form $\pi$ of a reductive group $G$ over a global field
- a finite-dimensional complex representation $r$ of the Langlands dual group $^LG$ of $G$,
- They were introduced by Langlands (1967, 1970, 1971)
- generalizing the Dirichlet $L$-series of a Dirichlet character and the Mellin transform of a modular form