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PreprintCC BY 4.0arXiv

Rational limit of Rains integrals of type An

Abstract

We deduce the rational analogue of the elliptic Rains identity of type An arXiv:0309252. We also derive reductions of the rational analogue and present the connection of them with well-known integrals in literature.

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BibTeX
@misc{cherepanov2026rational,
  title = {{Rational limit of Rains integrals of type $A_n$}},
  author = {L. Cherepanov},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.30317},
  eprint = {2610.30317},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.30317},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Rational limit of Rains integrals of type A_n
AU  - L. Cherepanov
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.30317
UR  - https://arxiv.org/abs/2610.30317
AB  - We deduce the rational analogue of the elliptic Rains identity of type A_n arXiv:0309252. We also derive reductions of the rational analogue and present the connection of them with well-known integrals in literature.
ER  -