English

Elliptic $\mathrm{A}_n$ Selberg integrals

Classical Analysis and ODEs 2023-06-06 v1 Mathematical Physics math.MP

Abstract

We use the elliptic interpolation kernel due to the second author to prove an An\mathrm{A}_n extension of the elliptic Selberg integral. More generally, we obtain elliptic analogues of the An\mathrm{A}_n Kadell, Hua-Kadell and Alba-Fateev-Litvinov-Tarnopolsky (or AFLT) integrals.

Keywords

Cite

@article{arxiv.2306.02442,
  title  = {Elliptic $\mathrm{A}_n$ Selberg integrals},
  author = {Seamus P. Albion and Eric M. Rains and S. Ole Warnaar},
  journal= {arXiv preprint arXiv:2306.02442},
  year   = {2023}
}

Comments

27 pages

R2 v1 2026-06-28T10:55:55.382Z