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

By Dorian Goldfeld,Joseph Hundley

This graduate-level textbook presents an easy exposition of the idea of automorphic representations and L-functions for the overall linear workforce in an adelic environment. Definitions are saved to a minimal and repeated whilst reintroduced in order that the e-book is available from any access aspect, and without previous wisdom of illustration thought. The ebook contains concrete examples of world and native representations of GL(n), and offers their linked L-functions. In quantity 1, the speculation is constructed from first ideas for GL(1), then conscientiously prolonged to GL(2) with whole special proofs of key theorems. numerous proofs are offered for the 1st time, together with Jacquet's basic and chic evidence of the tensor product theorem. In quantity 2, the better rank state of affairs of GL(n) is given a close remedy. Containing quite a few routines by way of Xander Faber, this publication will inspire scholars and researchers to start operating during this fertile box of research.

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