"Automorphic L-function"의 두 판 사이의 차이
둘러보기로 가기
검색하러 가기
imported>Pythagoras0 |
Pythagoras0 (토론 | 기여) |
||
| 1번째 줄: | 1번째 줄: | ||
==introduction== | ==introduction== | ||
| − | * an automorphic L-function is a function | + | * an automorphic L-function is a function <math>L(s,\pi,r)</math> |
| − | ** complex variable | + | ** complex variable <math>s</math>, |
| − | ** associated to an automorphic form | + | ** associated to an automorphic form <math>\pi</math> of a reductive group <math>G</math> over a global field |
| − | ** a finite-dimensional complex representation | + | ** a finite-dimensional complex representation <math>r</math> of the Langlands dual group <math>^LG</math> of <math>G</math>, |
* They were introduced by Langlands (1967, 1970, 1971) | * They were introduced by Langlands (1967, 1970, 1971) | ||
| − | * generalizing the Dirichlet | + | * generalizing the Dirichlet <math>L</math>-series of a Dirichlet character and the Mellin transform of a modular form |
[[분류:Automorphic forms]] | [[분류:Automorphic forms]] | ||
[[분류:migrate]] | [[분류:migrate]] | ||
2020년 11월 14일 (토) 10:37 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