Dorian Goldfeld,Joseph Hundley's Automorphic Representations and L-Functions for the General PDF

By Dorian Goldfeld,Joseph Hundley

This graduate-level textbook offers an trouble-free exposition of the speculation 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 ebook is offered from any access element, and without earlier wisdom of illustration concept. The booklet comprises 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 conscientiously prolonged to GL(2) with whole specific proofs of key theorems. numerous proofs are awarded for the 1st time, together with Jacquet's uncomplicated 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 quite a few routines through Xander Faber, this ebook will encourage 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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