Automorphic Representations and L-Functions for the General by Dorian Goldfeld,Joseph Hundley

By Dorian Goldfeld,Joseph Hundley

This graduate-level textbook presents an straight forward exposition of the speculation of automorphic representations and L-functions for the overall linear crew in an adelic surroundings. Definitions are saved to a minimal and repeated while reintroduced in order that the ebook is out there from any access aspect, and without past wisdom of illustration thought. The booklet comprises concrete examples of worldwide and native representations of GL(n), and provides their linked L-functions. In quantity 1, the speculation is built from first rules for GL(1), then conscientiously prolonged to GL(2) with whole particular proofs of key theorems. numerous proofs are offered for the 1st time, together with Jacquet's basic and stylish facts of the tensor product theorem. In quantity 2, the better rank state of affairs of GL(n) is given an in depth remedy. Containing quite a few workouts by means of Xander Faber, this booklet will encourage scholars and researchers to start operating during this fertile box of research.

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