"Automorphic L-function"의 두 판 사이의 차이
둘러보기로 가기
검색하러 가기
imported>Pythagoras0 (새 문서: ==introduction== * an automorphic L-function is a function $L(s,\pi,r)$ of a complex variable $s$, associated to an automorphic form $\pi$ of a reductive group $G$ over a global field...) |
imported>Pythagoras0 |
||
| 1번째 줄: | 1번째 줄: | ||
==introduction== | ==introduction== | ||
| − | * an automorphic L-function is a function $L(s,\pi,r)$ | + | * 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 $L_G$ 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 | ||
2018년 6월 18일 (월) 18:22 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 $L_G$ 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