Eisenstein series and automorphic l-functions

This book presents a treatment of the theory of L-functions developed by means of the theory of Eisenstein series and their Fourier coefficients, a theory which is usually referred to as the Langlands-Shahidi method. The information gathered from this method, when combined with the converse theorems...

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Detalles Bibliográficos
Autor principal: Shahidi, Freydoon
Lenguaje:eng
Publicado: American Mathematical Society 2010
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/2264167
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author Shahidi, Freydoon
author_facet Shahidi, Freydoon
author_sort Shahidi, Freydoon
collection CERN
description This book presents a treatment of the theory of L-functions developed by means of the theory of Eisenstein series and their Fourier coefficients, a theory which is usually referred to as the Langlands-Shahidi method. The information gathered from this method, when combined with the converse theorems of Cogdell and Piatetski-Shapiro, has been quite sufficient in establishing a number of new cases of Langlands functoriality conjecture; at present, some of these cases cannot be obtained by any other method. These results have led to far-reaching new estimates for Hecke eigenvalues of Maass forms,
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institution Organización Europea para la Investigación Nuclear
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publishDate 2010
publisher American Mathematical Society
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spelling cern-22641672021-04-21T19:13:34Zhttp://cds.cern.ch/record/2264167engShahidi, FreydoonEisenstein series and automorphic l-functionsMathematical Physics and MathematicsThis book presents a treatment of the theory of L-functions developed by means of the theory of Eisenstein series and their Fourier coefficients, a theory which is usually referred to as the Langlands-Shahidi method. The information gathered from this method, when combined with the converse theorems of Cogdell and Piatetski-Shapiro, has been quite sufficient in establishing a number of new cases of Langlands functoriality conjecture; at present, some of these cases cannot be obtained by any other method. These results have led to far-reaching new estimates for Hecke eigenvalues of Maass forms,American Mathematical Societyoai:cds.cern.ch:22641672010
spellingShingle Mathematical Physics and Mathematics
Shahidi, Freydoon
Eisenstein series and automorphic l-functions
title Eisenstein series and automorphic l-functions
title_full Eisenstein series and automorphic l-functions
title_fullStr Eisenstein series and automorphic l-functions
title_full_unstemmed Eisenstein series and automorphic l-functions
title_short Eisenstein series and automorphic l-functions
title_sort eisenstein series and automorphic l-functions
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2264167
work_keys_str_mv AT shahidifreydoon eisensteinseriesandautomorphiclfunctions

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