"Automorphic L-function"의 두 판 사이의 차이

2021년 2월 17일 (수) 01:35 기준 최신판

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

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 ==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.
+* an automorphic L-function is a function <math>L(s,\pi,r)</math>
-* They were introduced by Langlands (1967, 1970, 1971).
+**  complex variable <math>s</math>,
+** associated to an automorphic form <math>\pi</math> of a reductive group <math>G</math> over a global field
+** 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)
+* generalizing the Dirichlet <math>L</math>-series of a Dirichlet character and the Mellin transform of a modular form
+[[분류:Automorphic forms]]
+[[분류:migrate]]
+==메타데이터==
+===위키데이터===
+* ID :  [https://www.wikidata.org/wiki/Q4826697 Q4826697]
+===Spacy 패턴 목록===
+* [{'LOWER': 'automorphic'}, {'LOWER': 'l'}, {'OP': '*'}, {'LEMMA': 'function'}]