PreprintarXiv licencearXiv
A proof of Hirose's duality conjecture
Abstract
Hirose formulated a duality conjecture for a q-discretization of iterated integrals on the four-punctured projective line, incorporating word-dependent q-shifts of the parameters. In this paper, we prove this conjecture using a symmetric terminating 4ϕ3 connector.
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BibTeX
@misc{seki2026proof,
title = {{A proof of Hirose's duality conjecture}},
author = {Shin-ichiro Seki},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.40213},
eprint = {2609.40213},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.40213},
}
RIS
TY - UNPB
TI - A proof of Hirose's duality conjecture
AU - Shin-ichiro Seki
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2609.40213
UR - https://arxiv.org/abs/2609.40213
AB - Hirose formulated a duality conjecture for a q-discretization of iterated integrals on the four-punctured projective line, incorporating word-dependent q-shifts of the parameters. In this paper, we prove this conjecture using a symmetric terminating _4ϕ_3 connector.
ER -