---
res:
  bibo_abstract:
  - "In Kuperberg and Lal´ın [Forum Math. 34 (2022), pp. 711–747],\r\nthe authors
    studied the mean-square of certain sums of the divisor function\r\ndk(f) over
    the function field Fq[T] in the limit as q →∞ and related these\r\nsums to integrals
    over the ensemble of symplectic matrices, along similar lines\r\nas previous work
    of Keating, Rodgers, Roditty-Gershon and Rudnick [Math. Z.\r\n288 (2018), pp.
    167–198] for unitary matrices. We present an analogous problem yielding an integral
    over the ensemble of orthogonal matrices and pursue\r\na more detailed study of
    both the symplectic and orthogonal matrix integrals,\r\nrelating them to symmetric
    function theory. The function field results lead to\r\nconjectures concerning
    analogous questions over number fields.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Vivian Zieve
      foaf_name: Kuperberg, Vivian Zieve
      foaf_surname: Kuperberg
      foaf_workInfoHomepage: http://www.librecat.org/personId=c3bac823-112d-11f0-a3f5-c264f852e697
  - foaf_Person:
      foaf_givenName: Matilde
      foaf_name: Lalín, Matilde
      foaf_surname: Lalín
  bibo_doi: 10.1090/btran/186
  bibo_issue: '10'
  bibo_volume: 12
  dct_date: 2025^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/2330-0000
  dct_language: eng
  dct_publisher: American Mathematical Society@
  dct_title: Symplectic conjectures for sums of divisor functions and explorations
    of an orthogonal regime@
...