Automorphic L-function
imported>Pythagoras0님의 2018년 6월 18일 (월) 18:21 판 (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...)
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 and a finite-dimensional complex representation $r$ of the Langlands dual group $L_G$ of $G$, generalizing the Dirichlet $L$-series of a Dirichlet character and the Mellin transform of a modular form.
- They were introduced by Langlands (1967, 1970, 1971).