{
  "id": "0904.0850",
  "version": "v5",
  "published": "2009-04-06T06:04:49.000Z",
  "updated": "2009-09-19T19:00:55.000Z",
  "title": "Upper bounds on L-functions at the edge of the critical strip",
  "authors": [
    "Xiannan Li"
  ],
  "comment": "Final version",
  "categories": [
    "math.NT"
  ],
  "abstract": "The problem of finding upper bounds for L-functions at the edge of the critical strip has a long and interesting history. Here, the situation for classical L-functions such as Dirichlet L-functions is relatively well understood. The reason for this is because the size of the coefficients of these L-functions is known to be small. Although L-functions are generally expected to have coefficients which are bounded by a constant at the primes, this has only been proven for a small class of familiar examples. Our main focus here is on the problem of finding upper bounds for L-functions for which we have comparatively bad bounds for the size of the coefficients.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2009-09-19T19:00:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M99",
      "11F67"
    ],
    "keywords": [
      "critical strip",
      "finding upper bounds",
      "coefficients",
      "comparatively bad bounds",
      "main focus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.0850L"
    }
  }
}