English

Determinantal formulas for Sklyanin-Whittaker integrals

Mathematical Physics 2026-03-30 v1 Combinatorics math.MP Probability

Abstract

We study multi-variable integrals, that we name Sklyanin-Whittaker integrals, and prove their determinantal formulas. We also discuss a qq-deformation, a determinantal point process, and associated Mellin--Barnes integrals.

Cite

@article{arxiv.2603.12438,
  title  = {Determinantal formulas for Sklyanin-Whittaker integrals},
  author = {Taro Kimura},
  journal= {arXiv preprint arXiv:2603.12438},
  year   = {2026}
}

Comments

20 pages

R2 v1 2026-07-01T11:17:35.267Z