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

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

ISBN-10: 0122791754

ISBN-13: 9780122791758

ISBN-10: 1483239306

ISBN-13: 9781483239309

Analytic houses of Automorphic L-Functions is a three-chapter textual content that covers enormous learn works at the automorphic L-functions hooked up by way of Langlands to reductive algebraic teams.

Chapter I specializes in the research of Jacquet-Langlands tools and the Einstein sequence and Langlands’ so-called “Euler products”. This bankruptcy explains how neighborhood and international zeta-integrals are used to turn out the analytic continuation and useful equations of the automorphic L-functions connected 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 e-book might be of worth 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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