{
  "id": "0803.2795",
  "version": "v1",
  "published": "2008-03-19T12:38:20.000Z",
  "updated": "2008-03-19T12:38:20.000Z",
  "title": "Correlations of eigenvalues and Riemann zeros",
  "authors": [
    "J. B. Conrey",
    "N. C. Snaith"
  ],
  "categories": [
    "math.NT",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We present a new approach to obtaining the lower order terms for $n$-correlation of the zeros of the Riemann zeta function. Our approach is based on the `ratios conjecture' of Conrey, Farmer, and Zirnbauer. Assuming the ratios conjecture we prove a formula which explicitly gives all of the lower order terms in any order correlation. Our method works equally well for random matrix theory and gives a new expression, which is structurally the same as that for the zeta function, for the $n$-correlation of eigenvalues of matrices from U(N).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-19T12:38:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M26",
      "15A52"
    ],
    "keywords": [
      "riemann zeros",
      "lower order terms",
      "eigenvalues",
      "ratios conjecture",
      "riemann zeta function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.2795C"
    }
  }
}