{
  "id": "1606.05502",
  "version": "v1",
  "published": "2016-06-17T12:40:53.000Z",
  "updated": "2016-06-17T12:40:53.000Z",
  "title": "Stark units in positive characteristic",
  "authors": [
    "Bruno Anglès",
    "Tuan Ngo Dac",
    "Floric Tavares Ribeiro"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We show that the module of Stark units associated to a sign-normalized rank one Drinfeld module can be obtained from Anderson's equivariant $A$-harmonic series. We apply this to obtain a class formula \\`a la Taelman and to prove a several variable log-algebraicity theorem, generalizing Anderson's log-algebraicity theorem. We also give another proof of Anderson's log-algebraicity theorem using shtukas and obtain various results concerning the module of Stark units for Drinfeld modules of arbitrary rank.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-17T12:40:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stark units",
      "positive characteristic",
      "drinfeld module",
      "generalizing andersons log-algebraicity theorem",
      "harmonic series"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}