Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 19 (2023), 061, 16 pages      arXiv:2304.07843      https://doi.org/10.3842/SIGMA.2023.061

Polynomial Solutions Modulo $p^s$ of Differential KZ and Dynamical Equations

Pavel Etingof ^a and Alexander Varchenko ^b
a) Department of Mathematics, MIT, Cambridge, MA 02139, USA
^b) Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599-3250, USA

Received April 18, 2023, in final form August 23, 2023; Published online September 01, 2023

Abstract
We construct polynomial solutions modulo $p^s$ of the differential KZ and dynamical equations where $p$ is an odd prime number.

Key words: differential KZ and dynamical equations; polynomial solutions modulo $p^s$; hypergeometric integrals.

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