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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Softcover. Etat : Gut. Princeton UP 1980. VII, 236 p. Pbck. (edge slightly stained).- Annals of Mathematics Studies, 96.- Name on title, otherwise in good condition. N° de réf. du vendeur 73839
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