Some Equations Involving the Gamma Function

Sebastian Eterović, Adele Padgett

Published 2023-10-02Version 1

Let $V\subseteq\mathbb{C}^{2n}$ be an algebraic variety with no constant coordinates and with a dominant projection onto the first $n$ coordinates. We show that the intersection of $V$ with the graph of the $\Gamma$ function is Zariski dense in $V$.