Preprint
Sep 2026
On the Injectivity of Elementary Symmetric Partitions and the Multiset Recovery Problem
The elementary symmetric partition map $\pre_s$, introduced by Ballantine, Beck, and Merca, sends an integer partition to the summands in the evaluation of the $s$-th elementary symmetric polynomial at its parts. By encoding partition parts as prime-exponent valuation vectors, we connect $\pre_s$ to Leo Moser's additiv...
Zi-Yao Sun
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