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

By Dorian Goldfeld,Joseph Hundley

ISBN-10: 052147423X

ISBN-13: 9780521474238

This graduate-level textbook offers an hassle-free exposition of the speculation of automorphic representations and L-functions for the final linear workforce in an adelic atmosphere. Definitions are saved to a minimal and repeated whilst reintroduced in order that the ebook is on the market from any access element, and without earlier wisdom of illustration conception. The e-book comprises concrete examples of world and native representations of GL(n), and provides their linked L-functions. In quantity 1, the idea is built from first rules for GL(1), then rigorously prolonged to GL(2) with entire designated proofs of key theorems. a number of proofs are offered for the 1st time, together with Jacquet's basic and chic evidence of the tensor product theorem. In quantity 2, the better rank state of affairs of GL(n) is given an in depth therapy. Containing a number of workouts through Xander Faber, this ebook will encourage scholars and researchers to start operating during this fertile box of research.

Show description

Read or Download Automorphic Representations and L-Functions for the General Linear Group: 1 (Cambridge Studies in Advanced Mathematics, 129) PDF

Similar number theory books

Gunther Leobacher,Friedrich Pillichshammer's Introduction to Quasi-Monte Carlo Integration and PDF

This textbook introduces readers to the elemental options of quasi-Monte Carlo tools for numerical integration and to the idea in the back of them. the excellent therapy of the topic with specific causes contains, for instance, lattice ideas, electronic nets and sequences and discrepancy thought.

Download PDF by Frazer Jarvis: Algebraic Number Theory (Springer Undergraduate Mathematics

The technical problems of algebraic quantity thought usually make this topic look tricky to rookies. This undergraduate textbook offers a welcome method to those difficulties because it presents an approachable and thorough creation to the subject. Algebraic quantity thought takes the reader from specified factorisation within the integers via to the modern day quantity box sieve.

Factorization of Boundary Value Problems Using the Invariant - download pdf or read online

Factorization technique for Boundary price difficulties via Invariant Embedding offers a brand new thought for linear elliptic boundary price difficulties. The authors supply a metamorphosis of the matter in preliminary worth difficulties which are uncoupled, permitting you to unravel those successively. this technique seems to be just like the Gauss block factorization of the matrix, received in finite measurement after discretization of the matter.

Read e-book online Diophantine Analysis: Course Notes from a Summer School PDF

This choice of direction notes from a host conception summer season college specialise in facets of Diophantine research, addressed to grasp and doctoral scholars in addition to every body who desires to study the topic. the subjects diversity from Baker’s approach to bounding linear varieties in logarithms (authored via Sanda Bujačić and Alan Filipin), metric diophantine approximation discussing particularly the but unsolved Littlewood conjecture (by Simon Kristensen), Minkowski’s geometry of numbers and smooth adaptations via Bombieri and Schmidt (Tapani Matala-aho), and a ancient account of comparable quantity theory(ists) on the flip of the nineteenth Century (Nicola M.

Additional info for Automorphic Representations and L-Functions for the General Linear Group: 1 (Cambridge Studies in Advanced Mathematics, 129)

Sample text

Download PDF sample

Automorphic Representations and L-Functions for the General Linear Group: 1 (Cambridge Studies in Advanced Mathematics, 129) by Dorian Goldfeld,Joseph Hundley

by Robert

Rated 4.95 of 5 – based on 33 votes