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Mathematische Zeitschrift

, Volume 279, Issue 1–2, pp 267–270 | Cite as

On poles of the exterior cube \(L\)-functions for \(\mathrm {GL}_6\)

  • Shunsuke Yamana
Article

Abstract

We determine the irreducible cuspidal automorphic representations of \(\mathrm {GL}_6\) whose twisted exterior cube \(L\)-functions have poles.

Keywords

Exterior cube \(L\)-functions Poles of \(L\)-functions Base change  Automorphic induction 

Mathematics Subject Classification

11F66 11F70 

Notes

Acknowledgments

The author would like to thank Michael Harris for inviting him as a postdoctoral fellow at the Institut de mathématiques de Jussieu, where this paper was written. The research leading to these results has received funding from the European Research Council under the European Community’s Seventh Framework Programme (FP7/2007-2013)/ERC Grant agreement no. 290766 (AAMOT). The author is partially supported by JSPS Grant-in-Aid for Research Activity Start-up 24840033.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Faculty of MathematicsKyushu UniversityFukuokaJapan

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