Some Equations Involving the Gamma Function

Abstract

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 $V$.

Minor corrections. 25 pages, 2 figures

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