By Dorian Goldfeld,Joseph Hundley

This graduate-level textbook offers an common exposition of the idea of automorphic representations and L-functions for the overall linear staff in an adelic environment. Definitions are saved to a minimal and repeated while reintroduced in order that the e-book is on the market from any access element, and with out earlier wisdom of illustration idea. The publication contains concrete examples of world and native representations of GL(n), and offers their linked L-functions. In quantity 1, the idea is constructed from first ideas for GL(1), then conscientiously prolonged to GL(2) with entire specific proofs of key theorems. numerous proofs are provided for the 1st time, together with Jacquet's basic and stylish evidence of the tensor product theorem. In quantity 2, the better rank scenario of GL(n) is given an in depth therapy. Containing various workouts via Xander Faber, this booklet will encourage scholars and researchers to start operating during this fertile box of research.

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