Sign changes in statistics for plane partitions
Number Theory
2022-10-14 v4 Combinatorics
Abstract
Recent work of Cesana, Craig and the third author shows that the trace of plane partitions is asymptotically equidistributed in residue classes mod . Applying a technique of the first two authors and Garnowski, we prove asymptotic formulas for the secondary terms in this equidistribution, which are controlled by certain complex numbers generated by a twisted MacMahon-type product. We further carry out a similar analysis for a statistic related to plane overpartitions.
Cite
@article{arxiv.2207.14590,
title = {Sign changes in statistics for plane partitions},
author = {Walter Bridges and Johann Franke and Joshua Males},
journal= {arXiv preprint arXiv:2207.14590},
year = {2022}
}
Comments
2 figures