
eBook ISBN: | 978-1-4704-0196-2 |
Product Code: | MEMO/128/611.E |
List Price: | $60.00 |
MAA Member Price: | $54.00 |
AMS Member Price: | $36.00 |

eBook ISBN: | 978-1-4704-0196-2 |
Product Code: | MEMO/128/611.E |
List Price: | $60.00 |
MAA Member Price: | $54.00 |
AMS Member Price: | $36.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 128; 1997; 218 ppMSC: Primary 11
In this book, the authors establish global Rankin Selberg integrals which determine the standard \(L\) function for the group \(GL_r\times G'\), where \(G'\) is an isometry group of a nondegenerate symmetric form. The class of automorphic representations considered here is for any pair \(\prod_1\otimes\prod_2\) where \(\prod_1\) is generic cuspidal for \(GL_r(A)\) and \(\prod_2\) is cuspidal for \(G'(A)\). The construction of these \(L\) functions involves the use of certain new "models" of local representations; these models generalize the usual generic models. The authors also compute local unramified factors in a new way using geometric ideas.
ReadershipGraduate students and research mathematicians interested in number theory.
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Table of Contents
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Chapters
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0. Introduction
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1. Basic data
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2. Support ideals
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3. Certain Jacquet functors
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4. Global theory
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5. Support ideals (II)
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6. Calculation of local factors
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7. Determination of $\gamma $-factors (spherical case)
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8. Determination of $\gamma $-factors (spherical-Whittaker case)
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In this book, the authors establish global Rankin Selberg integrals which determine the standard \(L\) function for the group \(GL_r\times G'\), where \(G'\) is an isometry group of a nondegenerate symmetric form. The class of automorphic representations considered here is for any pair \(\prod_1\otimes\prod_2\) where \(\prod_1\) is generic cuspidal for \(GL_r(A)\) and \(\prod_2\) is cuspidal for \(G'(A)\). The construction of these \(L\) functions involves the use of certain new "models" of local representations; these models generalize the usual generic models. The authors also compute local unramified factors in a new way using geometric ideas.
Graduate students and research mathematicians interested in number theory.
-
Chapters
-
0. Introduction
-
1. Basic data
-
2. Support ideals
-
3. Certain Jacquet functors
-
4. Global theory
-
5. Support ideals (II)
-
6. Calculation of local factors
-
7. Determination of $\gamma $-factors (spherical case)
-
8. Determination of $\gamma $-factors (spherical-Whittaker case)