Download PDF by Stephen Gelbart,Freydoon Shahidi,J. Coates,S. Helgason: Analytic Properties of Automorphic L-Functions (Perspectives

By Stephen Gelbart,Freydoon Shahidi,J. Coates,S. Helgason

Analytic houses of Automorphic L-Functions is a three-chapter textual content that covers substantial study works at the automorphic L-functions connected via Langlands to reductive algebraic teams.

Chapter I makes a speciality of the research of Jacquet-Langlands equipment and the Einstein sequence and Langlands’ so-called “Euler products”. This bankruptcy explains how neighborhood and international zeta-integrals are used to end up the analytic continuation and useful equations of the automorphic L-functions hooked up to GL(2). bankruptcy II offers with the advancements and refinements of the zeta-inetgrals for GL(n). bankruptcy III describes the consequences for the L-functions L (s, ?, r), that are thought of within the consistent phrases of Einstein sequence for a few quasisplit reductive group.

This e-book might be of worth to undergraduate and graduate arithmetic students.

Show description

Read Online or Download Analytic Properties of Automorphic L-Functions (Perspectives in Mathematics) PDF

Best number theory books

Download e-book for iPad: Stream Ciphers and Number Theory (North-Holland Mathematical by Thomas W. Cusick,Cunsheng Ding,Ari R. Renvall

This can be the original publication on cross-fertilisations among move ciphers and quantity conception. It systematically and comprehensively covers recognized connections among the 2 parts which are on hand in simple terms in learn papers. a few components of this publication include new examine effects that aren't to be had in different places.

Get Arithmetic of Quadratic Forms (Springer Monographs in PDF

This publication is split into elements. the 1st half is initial and includes algebraic quantity idea and the idea of semisimple algebras. There are crucial subject matters: class of quadratic types and quadratic Diophantine equations. the second one subject is a brand new framework which includes the research of Gauss at the sums of 3 squares as a different case.

Download e-book for iPad: Theory of Algebraic Integers (Cambridge Mathematical by Richard Dedekind,John Stillwell

The discovery of beliefs through Dedekind within the 1870s was once good sooner than its time, and proved to be the genesis of what this present day we might name algebraic quantity thought. His memoir 'Sur l. a. Theorie des Nombres Entiers Algebriques' first seemed in instalments within the 'Bulletin des sciences mathematiques' in 1877.

Download PDF by S. J. Patterson: An Introduction to the Theory of the Riemann Zeta-Function

It is a glossy advent to the analytic ideas utilized in the research of zeta features, during the instance of the Riemann zeta functionality. Riemann brought this functionality in reference to his examine of top numbers and from this has built the topic of analytic quantity concept. given that then many different sessions of 'zeta functionality' were brought and they're now the most intensively studied items in quantity conception.

Additional resources for Analytic Properties of Automorphic L-Functions (Perspectives in Mathematics)

Sample text

Download PDF sample

Analytic Properties of Automorphic L-Functions (Perspectives in Mathematics) by Stephen Gelbart,Freydoon Shahidi,J. Coates,S. Helgason

by Jason

Rated 4.68 of 5 – based on 22 votes