The $\mathbb F_p$-Selberg Integral
Algebraic Geometry
2020-12-17 v2 Mathematical Physics
math.MP
Number Theory
Abstract
We prove an -Selberg integral formula, in which the -Selberg integral is an element of the finite field with odd prime number 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 .
Keywords
Cite
@article{arxiv.2011.14248,
title = {The $\mathbb F_p$-Selberg Integral},
author = {Richard Rimanyi and Alexander Varchenko},
journal= {arXiv preprint arXiv:2011.14248},
year = {2020}
}
Comments
Latex, 19 pages, v2: references, remarks, formula (4.7) added