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

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

Analytic homes of Automorphic L-Functions is a three-chapter textual content that covers massive examine works at the automorphic L-functions hooked up 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 implications 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 publication can be of price to undergraduate and graduate arithmetic students.

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