Gamma factors for Asai representations of ${\rm GL}_2$
Number Theory
2018-10-31 v1
Abstract
Let be a quadratic semisimple extension of a local field of characteristic zero. We determine explicit relation between gamma factors for Asai representations of defined by the Weil-Deligne representations and local zeta integrals. When , the results were due to Henniart and Jacquet. We completed the theory in this article based on explicit calculation.
Keywords
Cite
@article{arxiv.1810.12561,
title = {Gamma factors for Asai representations of ${\rm GL}_2$},
author = {Shih-Yu Chen and Yao Cheng and Isao Ishikawa},
journal= {arXiv preprint arXiv:1810.12561},
year = {2018}
}