Stability of Asai local factors for GL (2)

Yeongseong Jo, M. Krishnamurthy

Research output: Contribution to journalArticlepeer-review

Abstract

Let F be a non-archimedean local field of characteristic not equal to 2 and let E/F be a quadratic algebra. We prove the stability of local factors attached to irreducible admissible (complex) representations of GL(2,E) via the Rankin-Selberg method under highly ramified twists. This includes both the Asai as well as the Rankin-Selberg local factors attached to pairs. Our method relies on expressing the gamma factor as a Mellin transform using Bessel functions.

Original languageEnglish
Pages (from-to)529-546
Number of pages18
JournalInternational Journal of Number Theory
Volume17
Issue number3
DOIs
StatePublished - Apr 2021

Keywords

  • Asai local factors
  • Bessel functions
  • Howe vectors

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