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math.NT2025
Distribution of the sum of reciprocal parts for distinct parts partitions
Walter Bridges
Given an integer partition of into distinct parts, the sum of the reciprocal parts is an example of an egyptian fraction. We study this statistic under the uniform measure on d…
math.RT2025
Statistics for random representations of Lie algebras
Walter Bridges, Kathrin Bringmann, Caner Nazaroglu
In this paper we investigate how a typical, large-dimensional representation looks for a complex Lie algebra. In particular, we study the family o…