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

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 staff in an adelic environment. Definitions are stored to a minimal and repeated whilst reintroduced in order that the ebook is obtainable from any access element, and with out past wisdom of illustration thought. The ebook contains concrete examples of world and native representations of GL(n), and provides 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 certain proofs of key theorems. numerous proofs are offered for the 1st time, together with Jacquet's uncomplicated and chic facts of the tensor product theorem. In quantity 2, the better rank state of affairs of GL(n) is given a close remedy. Containing various workouts via Xander Faber, this publication 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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