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Titlebook: Explicit Constructions of Automorphic L-Functions; Stephen Gelbart,Ilya Piatetski-Shapiro,Stephen Ral Book 1987 Springer-Verlag Berlin Hei

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發(fā)表于 2025-3-21 18:02:26 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Explicit Constructions of Automorphic L-Functions
編輯Stephen Gelbart,Ilya Piatetski-Shapiro,Stephen Ral
視頻videohttp://file.papertrans.cn/320/319359/319359.mp4
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Explicit Constructions of Automorphic L-Functions;  Stephen Gelbart,Ilya Piatetski-Shapiro,Stephen Ral Book 1987 Springer-Verlag Berlin Hei
描述The goal of this research monograph is to derive the analytic continuation and functional equation of the .L.-functions attached by R.P. Langlands to automorphic representations of reductive algebraic groups. The first part of the book (by Piatetski-Shapiro and Rallis) deals with .L.-functions for the simple classical groups; the second part (by Gelbart and Piatetski-Shapiro) deals with non-simple groups of the form .G GL(n)., with .G. a quasi-split reductive group of split rank .n.. The method of proof is to construct certain explicit zeta-integrals of Rankin-Selberg type which interpolate the relevant Langlands .L.-functions and can be analyzed via the theory of Eisenstein series and intertwining operators. This is the first time such an approach has been applied to such general classes of groups. The flavor of the local theory is decidedly representation theoretic, and the work should be of interest to researchers in group representation theory as well as number theory.
出版日期Book 1987
關(guān)鍵詞algebra; algebraic group; number theory; representation theory
版次1
doihttps://doi.org/10.1007/BFb0078125
isbn_softcover978-3-540-17848-4
isbn_ebook978-3-540-47880-5Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 1987
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沙發(fā)
發(fā)表于 2025-3-21 23:35:21 | 只看該作者
Book 1987automorphic representations of reductive algebraic groups. The first part of the book (by Piatetski-Shapiro and Rallis) deals with .L.-functions for the simple classical groups; the second part (by Gelbart and Piatetski-Shapiro) deals with non-simple groups of the form .G GL(n)., with .G. a quasi-sp
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Lecture Notes in Mathematicshttp://image.papertrans.cn/e/image/319359.jpg
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978-3-540-17848-4Springer-Verlag Berlin Heidelberg 1987
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0075-8434 e such an approach has been applied to such general classes of groups. The flavor of the local theory is decidedly representation theoretic, and the work should be of interest to researchers in group representation theory as well as number theory.978-3-540-17848-4978-3-540-47880-5Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Stephen Gelbart,Ilya Piatetski-Shapiro,Stephen Ral
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in Molecular Biology? series format, chapters include brief introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily reproducible laboratory protocols, and 978-1-4939-5700-2978-1-60761-744-0Series ISSN 1064-3745 Series E-ISSN 1940-6029
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