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Studies one of the simplest general problems in the theory, that of relating automorphic forms on arithmetic subgroups of GL(n,E) and GL(n,F) when E/F is a cyclic extension of number fields. (This is known as the base change problem for GL(n).) The problem is solved by means of the trace formula.
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Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula, James Arthur, Laurent Clozel
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- 1989
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