Base change for GL(2)
著者
書誌事項
Base change for GL(2)
（Annals of mathematics studies, no. 96）
Princeton University Press , University of Tokyo Press, 1980
- : pbk
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注記
Bibliography: p. 233-234
Includes indexes
内容説明・目次
- 巻冊次
-
ISBN 9780691082639
内容説明
R. Langlands shows, in analogy with Artin's original treatment of one-dimensional p, that at least for tetrahedral p, L(s, p) is equal to the L-function L(s, ) attached to a cuspdidal automorphic representation of the group GL(2, /A), /A being the adele ring of the field, and L(s, ), whose definition is ultimately due to Hecke, is known to be entire. The main result, from which the existence of follows, is that it is always possible to transfer automorphic representations of GL(2) over one number field to representations over a cyclic extension of the field. The tools he employs here are the trace formula and harmonic analysis on the group GL(2) over a local field.
- 巻冊次
-
: pbk ISBN 9780691082721
内容説明
R. Langlands shows, in analogy with Artin's original treatment of one-dimensional p, that at least for tetrahedral p, L(s, p) is equal to the L-function L(s, ?) attached to a cuspdidal automorphic representation of the group GL(2, /A), /A being the adele ring of the field, and L(s, ?), whose definition is ultimately due to Hecke, is known to be entire. The main result, from which the existence of ? follows, is that it is always possible to transfer automorphic representations of GL(2) over one number field to representations over a cyclic extension of the field. The tools he employs here are the trace formula and harmonic analysis on the group GL(2) over a local field.
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