Download Automorphic Forms and L-Functions for the Group GL(n,R) by Dorian Goldfeld PDF

By Dorian Goldfeld

L-functions linked to automorphic kinds encode all classical quantity theoretic details. they're reminiscent of easy debris in physics. This 2006 publication presents a wholly self-contained advent to the speculation of L-functions in a mode obtainable to graduate scholars with a uncomplicated wisdom of classical research, advanced variable conception, and algebra. additionally in the quantity are many new effects now not but present in the literature. The exposition offers whole distinct proofs of leads to an easy-to-read layout utilizing many examples and with no the necessity to comprehend and keep in mind many complicated definitions. the most subject matters of the e-book 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 publication, a collection of Mathematica services is gifted, designed to permit the reader to discover the idea from a computational element 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

Problem-Solving and Selected Topics in Number Theory: In the Spirit of the Mathematical Olympiads

The publication offers a self-contained advent to classical Number idea. the entire proofs of the person theorems and the suggestions of the routines are being awarded step-by-step. a few old feedback also are offered. The publication could be directed to complicated undergraduate, starting graduate scholars in addition to to scholars who arrange for mathematical competitions (ex.

Elementary Dirichlet Series and Modular Forms (Springer Monographs in Mathematics)

A publication on any mathematical topic past the textbook point is of little worth except it comprises new principles and new views. It is helping to incorporate new effects, only if they provide the reader new insights and are awarded in addition to identified outdated ends up in a transparent exposition. it truly is with this philosophy that the writer writes this quantity.

Zeta and eta functions: A new hypothesis

Euler-Riemann’s zeta and Dirichlet’s eta features are outlined for genuine damaging numbers as analytic continuation. within the current publication the writer defines new sequence for zeta and eta features, for actual adverse and imaginary numbers with no analytic continuation. the recent zeta and eta features retain the nature of harmonic sequence and alternating harmonic sequence respectively for genuine adverse numbers, as for actual optimistic numbers.

Computation with Linear Algebraic Groups (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Designed as a self-contained account of a few key algorithmic difficulties and their strategies for linear algebraic teams, this e-book combines in a single unmarried textual content either an advent to the fundamental concept of linear algebraic teams and a considerable choice of precious algorithms. Computation with Linear Algebraic teams deals a useful consultant to graduate scholars and researchers operating in algebraic teams, computational algebraic geometry, and computational crew idea, in addition to these searching for a concise creation to the idea of linear algebraic teams.

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

Example text

Download PDF sample

Rated 4.56 of 5 – based on 12 votes