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The $\mathbb F_p$-Selberg Integral (2011.14248v2)
Published 29 Nov 2020 in math.AG, math-ph, math.MP, and math.NT
Abstract: We prove an $\mathbb F_p$-Selberg integral formula, in which the $\mathbb F_p$-Selberg integral is an element of the finite field $\mathbb F_p$ with odd prime number $p$ of elements. The formula is motivated by analogy between multidimensional hypergeometric solutions of the KZ equations and polynomial solutions of the same equations reduced modulo $p$.