论文标题
平面分区的统计符号变化
Sign changes in statistics for plane partitions
论文作者
论文摘要
切萨纳（Cesana），克雷格（Craig）和第三作者的最新工作表明，飞机隔板的痕迹在残留类别mod $ b $中渐近地分布。应用了前两位作者和Garnowski的技术，我们证明了该等分分配中次级项的渐近公式，这些公式由由扭曲的Macmahon型产品产生的某些复数控制。我们进一步对与平面分散有关的统计数据进行了类似的分析。
Recent work of Cesana, Craig and the third author shows that the trace of plane partitions is asymptotically equidistributed in residue classes mod $b$. 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.
