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

By Dorian Goldfeld,Joseph Hundley

This graduate-level textbook presents an straight forward exposition of the idea of automorphic representations and L-functions for the overall linear crew in an adelic surroundings. Definitions are saved to a minimal and repeated while reintroduced in order that the publication is available from any access aspect, and without past wisdom of illustration idea. The e-book comprises concrete examples of world and native representations of GL(n), and provides their linked L-functions. In quantity 1, the speculation is built from first rules for GL(1), then rigorously prolonged to GL(2) with whole specified 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 number of routines via Xander Faber, this booklet will inspire 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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