Journal article
Stability of Asai local factors for GL(2)
International journal of number theory, Vol.17(3), pp.529-546
04/01/2021
DOI: 10.1142/S1793042120400035
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.
Details
- Title: Subtitle
- Stability of Asai local factors for GL(2)
- Creators
- Yeongseong Jo - University of IowaM Krishnamurthy - University of Iowa
- Resource Type
- Journal article
- Publication Details
- International journal of number theory, Vol.17(3), pp.529-546
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- DOI
- 10.1142/S1793042120400035
- ISSN
- 1793-0421
- eISSN
- 1793-7310
- Number of pages
- 18
- Language
- English
- Date published
- 04/01/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984241150702771
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