


Base Change for GL(2). (AM96) 
R. Langlands shows, in analogy with Artin's original treatment of onedimensional p, that at least for tetrahedral p, L(s, p) is equal to the Lfunction 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. Series:
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