Base Change for GL(2) (Annals of Mathematics Studies, 96)

By Robert P. Langlands

Book Overview

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 ad le 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.

• Format: Paperback
• Language: English
• ISBN: 0691082723
• ISBN13: 9780691082721
• Release Date: July 1980
• Publisher: Princeton University Press
• Length: 248 Pages
• Weight: 0.75 lbs.
• Dimensions: 9.2" x 0.7" x 6.1"