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

By Dorian Goldfeld,Joseph Hundley

ISBN-10: 052147423X

ISBN-13: 9780521474238

This graduate-level textbook offers an user-friendly exposition of the idea of automorphic representations and L-functions for the final linear crew in an adelic environment. Definitions are saved to a minimal and repeated while reintroduced in order that the e-book is out there from any access aspect, and with out earlier 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 ideas for GL(1), then rigorously prolonged to GL(2) with entire distinctive proofs of key theorems. a number of proofs are provided for the 1st time, together with Jacquet's easy and chic evidence of the tensor product theorem. In quantity 2, the better rank scenario of GL(n) is given an in depth therapy. Containing a variety of 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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