New PDF release: Automorphic Representations and L-Functions for the General

By Dorian Goldfeld,Joseph Hundley

This graduate-level textbook presents an ordinary exposition of the speculation of automorphic representations and L-functions for the final linear team in an adelic surroundings. Definitions are saved to a minimal and repeated whilst reintroduced in order that the e-book is obtainable from any access element, and without earlier wisdom of illustration idea. The booklet comprises concrete examples of world and native representations of GL(n), and offers their linked L-functions. In quantity 1, the idea is built from first ideas for GL(1), then rigorously prolonged to GL(2) with entire specific proofs of key theorems. a number of proofs are provided 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 therapy. Containing a variety of workouts by means of Xander Faber, this publication 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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