Number Theory

New PDF release: 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 enormous study works at the automorphic L-functions connected by means of Langlands to reductive algebraic teams.

Chapter I makes a speciality of the research of Jacquet-Langlands tools and the Einstein sequence and Langlands’ so-called “Euler products”. This bankruptcy explains how neighborhood and worldwide zeta-integrals are used to turn out the analytic continuation and useful equations of the automorphic L-functions connected to GL(2). bankruptcy II bargains 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 booklet might be of price to undergraduate and graduate arithmetic students.

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

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