Get Automorphic Representations and L-Functions for the General PDF

By Dorian Goldfeld,Joseph Hundley

This graduate-level textbook offers an hassle-free exposition of the idea of automorphic representations and L-functions for the final linear team in an adelic environment. Definitions are saved to a minimal and repeated while reintroduced in order that the publication is on the market from any access element, and without previous wisdom of illustration idea. The e-book contains concrete examples of world and native representations of GL(n), and offers their linked L-functions. In quantity 1, the speculation is constructed from first ideas for GL(1), then rigorously prolonged to GL(2) with whole unique proofs of key theorems. numerous proofs are awarded for the 1st time, together with Jacquet's basic and chic facts of the tensor product theorem. In quantity 2, the better rank state of affairs of GL(n) is given an in depth therapy. Containing quite a few workouts by means of Xander Faber, this e-book 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: 1 (Cambridge Studies in Advanced Mathematics, 129) by Dorian Goldfeld,Joseph Hundley

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