Base change for GL(2)
by Robert P. Langlands
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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, π) attached to a cuspdidal automorphic representation of the group GL(2, /A), /A being the adéle ring of the field, and L(s, π), whose definition is ultimately due to Hecke, is known to be entire. The main result, from which the existence of π follows, is that it is always possible to transfer automorphic representations of GL(2) show more 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. show lessTags
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- Canonical title
- Base change for GL(2) (2)
- Original publication date
- 1980
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- 4
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- 3,961,431
- Rating
- (5.00)
- Languages
- English
- Media
- Paper
- ISBNs
- 2
