Pavel Etingof, Alexander Varchenko, “Polynomial Solutions Modulo <nobr>$p^s$</nobr> of Differential KZ and Dynamical Equations”, SIGMA, 2023, Volume 19,061, 16 pp.

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

Pavel Etingof^a, 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

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

Keywords: differential KZ and dynamical equations, polynomial solutions modulo $p^s$, hypergeometric integrals.

MSC: 81R12, 11C08, 14H52

Received: April 18, 2023; in final form August 23, 2023; Published online September 1, 2023

Language: English

DOI: 10.3842/SIGMA.2023.061