{
  "id": "1309.4793",
  "version": "v2",
  "published": "2013-09-18T20:36:34.000Z",
  "updated": "2013-11-11T03:04:23.000Z",
  "title": "Resonant Interactions Along the Critical Line of the Riemann Zeta Function",
  "authors": [
    "Ronald Fisch"
  ],
  "comment": "15 pages, 16 figures; more data, minor corrections and improvements. arXiv admin note: substantial text overlap with arXiv:1210.3618",
  "categories": [
    "math.NT"
  ],
  "abstract": "We have studied some properties of the special Gram points of the Riemann zeta function which lie on contour lines ${\\bf Im}(\\zeta ( s )) = 0$ which do not contain zeroes of $\\zeta ( s )$. We find that certain functions of these points, which all lie on the critical line ${\\bf Re}( s ) = 1/2$, are correlated in remarkable and unexpected ways. We have data up to a height of $t = 10^4$, where $s = \\sigma + it$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-11T03:04:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06"
    ],
    "keywords": [
      "riemann zeta function",
      "critical line",
      "resonant interactions",
      "special gram points",
      "contour lines"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.4793F"
    }
  }
}