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

By Dorian Goldfeld,Joseph Hundley

This graduate-level textbook offers an uncomplicated 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 booklet is on the market from any access element, and without previous wisdom of illustration conception. The publication contains concrete examples of worldwide and native representations of GL(n), and offers their linked L-functions. In quantity 1, the speculation is constructed from first rules for GL(1), then rigorously 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 easy and chic facts of the tensor product theorem. In quantity 2, the better rank scenario of GL(n) is given an in depth therapy. Containing various routines by way of Xander Faber, this ebook will encourage scholars and researchers to start operating during this fertile box of research.

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