Stability of Asai local factors for GL (2)

Yeongseong Jo; M. Krishnamurthy

doi:10.1142/S1793042120400035

Stability of Asai local factors for GL (2)

Yeongseong Jo, M. Krishnamurthy

Department of Mathematics Education

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	529-546
Number of pages	18
Journal	International Journal of Number Theory
Volume	17
Issue number	3
DOIs	https://doi.org/10.1142/S1793042120400035
State	Published - Apr 2021

Bibliographical note

Publisher Copyright:
© 2021 World Scientific Publishing Company.

Keywords

Asai local factors
Bessel functions
Howe vectors

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10.1142/S1793042120400035

Cite this

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KW - Howe vectors

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Stability of Asai local factors for GL (2)

Abstract

Bibliographical note

Keywords

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