"Automorphic L-function"의 두 판 사이의 차이
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[[분류:Automorphic forms]] | [[분류:Automorphic forms]] | ||
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2020년 11월 13일 (금) 07:25 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