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Godement–Jacquet integrals on \(\mathrm{GL}(n,{\mathbf C})\)

  • Taku Ishii
Article
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Abstract

We explicitly compute the complex archimedean part of the Godement–Jacquet zeta integral. We give a pair of a Schwartz–Bruhat function and a matrix coefficient which attains the local L-factor.

Keywords

Standard L-functions Archimedean zeta integrals Principal series representations 

Mathematics Subject Classification

11F70 

References

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    Jacquet, H.: Principal \(L\)-functions of the linear group. In: Proceedings of Symposia in Pure Mathematics, Vol. 33, part 2, pp. 63–86 (1979)Google Scholar
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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Faculty of Science and TechnologySeikei UniversityMusashinoJapan

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