Plane Partitions as Sums over Partitions

被引：3
|
作者：
Merca, Mircea [1 ,2 ]
Radu, Iulia-Ionelia [3 ]
机构：
[1] Univ Politehn Bucuresti, Fundamental Sci Appl Engn Res Ctr, Dept Math Methods & Models, Bucharest 060042, Romania
[2] Acad Romanian Scientists, Bucharest 050044, Romania
[3] Aurel Vlaicu High Sch, Breaza 105400, Romania
来源：
SYMMETRY-BASEL | 2023年 / 15卷 / 10期
关键词：
partitions; plane partitions; symmetric functions; binomial coefficients;
D O I：
10.3390/sym15101820
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we consider complete homogeneous symmetric functions and provide a new formula for the number of plane partitions of n. This formula expresses the number of plane partitions of n in terms of binomial coefficients as a sum over all the partitions of n, considering the multiplicity of the parts greater than one. We obtain similar results for the number of strict plane partition of n and the number of symmetric plane partitions of n.
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页数：14
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