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In mathematics, the term standard L-function refers to a particular type of automorphic L-function described by Robert P. Langlands. 〔.〕 〔.〕 Here, ''standard'' refers to the finite-dimensional representation r being the standard representation of the L-group as a matrix group. ==Relations to other L-functions== Standard L-functions are thought to be the most general type of L-function. Conjecturally, they include all examples of L-functions, and in particular are expected to coincide with the Selberg class. Furthermore, all L-functions over arbitrary number fields are widely thought to be instances of standard L-functions for the general linear group GL(n) over the rational numbers Q. This makes them a useful testing ground for statements about L-functions, since it sometimes affords structure from the theory of automorphic forms. 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Standard L-function」の詳細全文を読む スポンサード リンク
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