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Rankin–Selberg gamma factors of level zero representations of GLn

  • Rongqing Ye ORCID logo EMAIL logo
Veröffentlicht/Copyright: 6. November 2018

Abstract

For a p-adic local field F of characteristic 0, with residue field 𝔣, we prove that the Rankin–Selberg gamma factor of a pair of level zero representations of linear general groups over F is equal to a gamma factor of a pair of corresponding cuspidal representations of linear general groups over 𝔣. Our results can be used to prove a variant of Jacquet’s conjecture on the local converse theorem.

MSC 2010: 22E50; 20C33; 11F66

Communicated by Freydoon Shahidi


Acknowledgements

The author thanks his advisor, Prof. James Cogdell, for helpful comments and discussions. We thank Qing Zhang for pointing out references on local converse theorem over finite fields. We appreciate the referee’s comments and suggestions, which help make the paper more readable.

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Received: 2018-04-30
Revised: 2018-09-30
Published Online: 2018-11-06
Published in Print: 2019-03-01

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