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    Title: Gamma factors for the Asai representation of GL2
    Authors: Chen, Shih-Yu;Cheng, Yao;Ishikawa, Isao
    Keywords: Asai representation;Twisted Asai representation;Gamma factor
    Date: 2020-04
    Issue Date: 2022-03-04 12:11:28 (UTC+8)
    Abstract: Let E be a quadratic semisimple extension of a local field F of characteristic zero. We determine explicit relation between the gamma factors for the Asai representation of R_E/FGL_2 defined by the Weil-Deligne representations and the local zeta integrals. When E=F x F, the results were due to Henniart and Jacquet. We completed the theory in this article based on explicit calculation.
    Relation: Journal of number theory 209, p.83-146
    DOI: 10.1016/j.jnt.2019.08.008
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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