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

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By Dorian Goldfeld,Joseph Hundley

This graduate-level textbook offers an effortless exposition of the speculation of automorphic representations and L-functions for the final linear workforce in an adelic atmosphere. Definitions are stored to a minimal and repeated whilst reintroduced in order that the booklet is out there from any access aspect, and with out earlier wisdom of illustration concept. The booklet comprises concrete examples of worldwide and native representations of GL(n), and offers their linked L-functions. In quantity 1, the speculation is built from first ideas for GL(1), then rigorously prolonged to GL(2) with entire targeted proofs of key theorems. numerous 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 a close remedy. Containing quite a few routines by means of 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: 2 (Cambridge Studies in Advanced Mathematics, 130) by Dorian Goldfeld,Joseph Hundley

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