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Loading... Base change for GL(2) (1980)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) 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. No library descriptions found. |
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Google Books — Loading... GenresMelvil Decimal System (DDC)512.22Natural sciences and mathematics Mathematics Algebra Groups and groups theory Higher numeric equationsLC ClassificationRatingAverage:
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