Gamma factors and quadratic extension over finite fields

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Abstract

This paper characterizes \({\mathrm {GL}}_n({\mathbb {F}}_q )\)-distinguished cuspidal representations of \({\mathrm {GL}}_n({\mathbb {F}}_{q^2})\) in terms of the special values of their twisted gamma factors.

Mathematics Subject Classification

Primary 20C33 Secondary 11L05 
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© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsNational Cheng Kung University and NCKUTainanTaiwan

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