{
  "id": "2203.12791",
  "version": "v1",
  "published": "2022-03-24T01:24:53.000Z",
  "updated": "2022-03-24T01:24:53.000Z",
  "title": "Chebyshev's Bias for Ramanujan's $τ$-function via the Deep Riemann Hypothesis",
  "authors": [
    "Shin-ya Koyama",
    "Nobushige Kurokawa"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2203.12266",
  "categories": [
    "math.NT"
  ],
  "abstract": "The authors assume the Deep Riemann Hypothesis to prove that a weighted sum of Ramanujan's $\\tau$-function has a bias to being positive. This phenomenon is an analogue of Chebyshev's bias.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-24T01:24:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "deep riemann hypothesis",
      "chebyshevs bias",
      "ramanujans",
      "authors assume"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}