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THE COMPUTATION OF MULTIVARIATE ARCHIMEDEAN ZETA INTEGRALS ON GL2 × GSp4 AND GL4.

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Title: THE COMPUTATION OF MULTIVARIATE ARCHIMEDEAN ZETA INTEGRALS ON GL2 × GSp4 AND GL4.
Authors: TAKU ISHII
Source: Proceedings of the American Mathematical Society; Jan2019, Vol. 147 Issue 1, p103-114, 12p
Subject Terms: ZETA functions, ARCHIMEDEAN property, EISENSTEIN series, AUTOMORPHIC functions, EULER'S numbers
Abstract: We explicitly compute the archimedean parts of the Rankin-Selberg integrals on GL2 × GSp4 and GL4 discovered by Pollack and Shah when the archimedean components are the class one principal series representations. [ABSTRACT FROM AUTHOR]
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: THE COMPUTATION OF MULTIVARIATE ARCHIMEDEAN ZETA INTEGRALS ON GL<subscript>2</subscript> × GSp<subscript>4</subscript> AND GL<subscript>4</subscript>.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22TAKU+ISHII%22">TAKU ISHII</searchLink>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: Proceedings of the American Mathematical Society; Jan2019, Vol. 147 Issue 1, p103-114, 12p
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22ZETA+functions%22">ZETA functions</searchLink><br /><searchLink fieldCode="DE" term="%22ARCHIMEDEAN+property%22">ARCHIMEDEAN property</searchLink><br /><searchLink fieldCode="DE" term="%22EISENSTEIN+series%22">EISENSTEIN series</searchLink><br /><searchLink fieldCode="DE" term="%22AUTOMORPHIC+functions%22">AUTOMORPHIC functions</searchLink><br /><searchLink fieldCode="DE" term="%22EULER'S+numbers%22">EULER'S numbers</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We explicitly compute the archimedean parts of the Rankin-Selberg integrals on GL<subscript>2</subscript> × GSp<subscript>4</subscript> and GL<subscript>4</subscript> discovered by Pollack and Shah when the archimedean components are the class one principal series representations. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of Proceedings of the American Mathematical Society is the property of American Mathematical Society and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1090/proc/14211
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      – Code: eng
        Text: English
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        PageCount: 12
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      – SubjectFull: ZETA functions
        Type: general
      – SubjectFull: ARCHIMEDEAN property
        Type: general
      – SubjectFull: EISENSTEIN series
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      – SubjectFull: AUTOMORPHIC functions
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      – SubjectFull: EULER'S numbers
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      – TitleFull: THE COMPUTATION OF MULTIVARIATE ARCHIMEDEAN ZETA INTEGRALS ON GL2 × GSp4 AND GL4.
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            NameFull: TAKU ISHII
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              Text: Jan2019
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              Y: 2019
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