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

By Dorian Goldfeld,Joseph Hundley

ISBN-10: 1107007992

ISBN-13: 9781107007994

This graduate-level textbook offers an user-friendly exposition of the speculation of automorphic representations and L-functions for the overall linear workforce in an adelic atmosphere. Definitions are stored to a minimal and repeated whilst reintroduced in order that the booklet is on the market from any access aspect, and with out past wisdom of illustration idea. The ebook contains concrete examples of worldwide 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 entire designated 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 therapy. Containing various workouts through 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: 2 (Cambridge Studies in Advanced Mathematics, 130) by Dorian Goldfeld,Joseph Hundley


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