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

By Dorian Goldfeld,Joseph Hundley

ISBN-10: 052147423X

ISBN-13: 9780521474238

This graduate-level textbook offers an hassle-free exposition of the speculation of automorphic representations and L-functions for the final linear workforce in an adelic atmosphere. Definitions are saved to a minimal and repeated whilst reintroduced in order that the ebook is on the market from any access element, and without earlier wisdom of illustration conception. The e-book comprises concrete examples of world and native representations of GL(n), and provides their linked L-functions. In quantity 1, the idea is built from first rules for GL(1), then rigorously prolonged to GL(2) with entire designated proofs of key theorems. a number of 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 an in depth therapy. Containing a number of workouts 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: 1 (Cambridge Studies in Advanced Mathematics, 129) by Dorian Goldfeld,Joseph Hundley


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