{ "id": "2207.03089", "version": "v1", "published": "2022-07-07T05:06:04.000Z", "updated": "2022-07-07T05:06:04.000Z", "title": "Twisted Koecher-Maass series of the Ikeda type lift for the exceptional group of type $E_{7,3}$", "authors": [ "Hidenori Katsurada", "Henry H. Kim" ], "categories": [ "math.NT" ], "abstract": "We compute the twisted Koecher-Maass series of the first and second kind of the Ikeda type lift for the exceptional group of type $E_{7,3}$. As an application, we obtain their rationality result.", "revisions": [ { "version": "v1", "updated": "2022-07-07T05:06:04.000Z" } ], "analyses": { "keywords": [ "ikeda type lift", "twisted koecher-maass series", "exceptional group", "second kind", "rationality result" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }