New PDF release: Automorphic Representations and L-Functions for the General

By Dorian Goldfeld,Joseph Hundley

This graduate-level textbook presents an hassle-free exposition of the idea of automorphic representations and L-functions for the final linear team in an adelic environment. Definitions are stored to a minimal and repeated whilst reintroduced in order that the booklet is on the market from any access element, and with out earlier wisdom of illustration concept. The ebook 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 rules for GL(1), then rigorously prolonged to GL(2) with whole exact proofs of key theorems. a number of proofs are offered for the 1st time, together with Jacquet's uncomplicated and stylish facts of the tensor product theorem. In quantity 2, the better rank scenario of GL(n) is given a close remedy. Containing a variety of routines by means of Xander Faber, this ebook will inspire scholars and researchers to start operating during this fertile box of research.

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Automorphic Representations and L-Functions for the General Linear Group: 2 (Cambridge Studies in Advanced Mathematics, 130) by Dorian Goldfeld,Joseph Hundley

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