Base Change for Gl(2). (Am-96), Volume 96

Title: Base Change for Gl(2). (Am-96), Volume 96
Author: Robert P Langlands
ISBN: 0691082723
Publisher: Princeton University Press
Published: 1980
Binding: Paperback
Language: English
Number of Pages: 248
Condition Note: Excellent, unmarked copy with little wear and tight binding. We ship in recyclable American-made mailers. 100% money-back guarantee on all orders.
Publisher Description:

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.