Read e-book online Automorphic Representations and L-Functions for the General PDF

By Dorian Goldfeld,Joseph Hundley

This graduate-level textbook offers an user-friendly exposition of the idea of automorphic representations and L-functions for the overall linear workforce in an adelic atmosphere. Definitions are saved to a minimal and repeated while reintroduced in order that the publication is available from any access element, and without earlier wisdom of illustration thought. The ebook contains concrete examples of worldwide and native representations of GL(n), and provides their linked L-functions. In quantity 1, the idea is built from first ideas for GL(1), then conscientiously prolonged to GL(2) with entire exact proofs of key theorems. a number of 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 a variety of routines via Xander Faber, this booklet 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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