{
  "id": "1912.07251",
  "version": "v1",
  "published": "2019-12-16T09:05:45.000Z",
  "updated": "2019-12-16T09:05:45.000Z",
  "title": "A construction of $p$-adic Asai $L$-functions for ${\\rm GL}_2$ over CM fields",
  "authors": [
    "Kenichi Namikawa"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We give a construction of $p$-adic Asai $L$-functions for cohomological cuspidal automorphic representations of ${\\rm GL}_2$ over CM fields. If the base field is imaginary quadratic, Loeffler-Williams recently constructed the $p$-adic Asai $L$-functions. We generalize their construction to the case that the base fields are general CM fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-16T09:05:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F67",
      "11F75",
      "11R23"
    ],
    "keywords": [
      "adic asai",
      "construction",
      "base field",
      "cohomological cuspidal automorphic representations",
      "general cm fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}