Download e-book for kindle: Automorphic Forms and L-Functions for the Group GL(n,R) by Dorian Goldfeld

By Dorian Goldfeld

L-functions linked to automorphic kinds encode all classical quantity theoretic info. they're equivalent to simple debris in physics. This 2006 booklet presents a wholly self-contained advent to the speculation of L-functions in a method available to graduate scholars with a easy wisdom of classical research, complicated variable concept, and algebra. additionally in the quantity are many new effects now not but present in the literature. The exposition presents whole precise proofs of leads to an easy-to-read structure utilizing many examples and with no the necessity to be aware of and keep in mind many complicated definitions. the most topics of the booklet are first labored out for GL(2,R) and GL(3,R), after which for the overall case of GL(n,R). In an appendix to the ebook, a suite of Mathematica features is gifted, designed to permit the reader to discover the speculation from a computational aspect of view.

Show description

Read Online or Download Automorphic Forms and L-Functions for the Group GL(n,R) (Cambridge Studies in Advanced Mathematics) PDF

Similar number theory books

Download e-book for iPad: Birational Geometry, Rational Curves, and Arithmetic (Simons by Fedor Bogomolov,Brendan Hassett,Yuri Tschinkel

​​​​This e-book good points fresh advancements in a swiftly growing to be sector on the interface of higher-dimensional birational geometry and mathematics geometry.  It makes a speciality of the geometry of areas of rational curves, with an emphasis on functions to mathematics questions.  Classically, mathematics is the examine of rational or imperative suggestions of diophantine equations and geometry is the learn of strains and conics.

Download e-book for iPad: Analytic Number Theory, Approximation Theory, and Special by Gradimir V. Milovanović,Michael Th. Rassias

This booklet, in honor of Hari M. Srivastava, discusses crucial advancements in mathematical examine in numerous difficulties. It includes thirty-five articles, written via eminent scientists from the foreign mathematical group, together with either examine and survey works. topics coated contain analytic quantity idea, combinatorics, specific sequences of numbers and polynomials, analytic inequalities and functions, approximation of services and quadratures, orthogonality and exact and complicated capabilities.

J. Coates,M. J. Taylor's L-Functions and Arithmetic (London Mathematical Society PDF

This quantity is an outgrowth of the LMS Durham Symposium on L-functions, held in July 1989. The symposium consisted of numerous brief classes, aimed toward proposing rigorous yet non-technical expositions of the newest examine components, and a couple of person lectures on particular themes. The individuals are all striking figures within the region of algebraic quantity conception and this quantity might be of lasting price to scholars and researchers operating within the zone.

Quadratic Residues and Non-Residues: Selected Topics by Steve Wright PDF

This booklet deals an account of the classical conception of quadratic residues and non-residues with the target of utilizing that conception as a lens wherein to view the improvement of a few of the elemental equipment hired in glossy hassle-free, algebraic, and analytic quantity idea. the 1st 3 chapters current a few simple proof and the heritage of quadratic residues and non-residues and talk about quite a few proofs of the legislation of Quadratic Reciprosity intensive, with an emphasis at the six proofs that Gauss released.

Additional info for Automorphic Forms and L-Functions for the Group GL(n,R) (Cambridge Studies in Advanced Mathematics)

Example text

Download PDF sample

Automorphic Forms and L-Functions for the Group GL(n,R) (Cambridge Studies in Advanced Mathematics) by Dorian Goldfeld

by Anthony

Rated 4.95 of 5 – based on 12 votes