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{\bf Robert P. Boyer and Daniel T. Parry}
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{\bf On the Zeros of Plane Partition Polynomials}
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Let $PL(n)$ be the number of all plane partitions of $n$ while
$pp_k(n)$ be the number of plane partitions of $n$ whose trace is
exactly $k$. We study the zeros of polynomial versions $Q_n(x)$ of
plane partitions where $Q_n(x) = \sum pp_k(n) x^k$.  Based on the
asymptotics we have developed for $Q_n(x)$ and computational evidence,
we determine the limiting behavior of the zeros of $Q_n(x)$ as
$n\to\infty$.  The distribution of the zeros has a two-scale behavior
which has order $n^{2/3}$ inside the unit disk while has order $n$ on
the unit circle.

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