Plane Partitions and Divisors

被引：0

作者：

Ballantine, Cristina ^{[1
]}

Merca, Mircea ^{[2
,3
]}

机构：

[1] Coll Holy Cross, Dept Math & Comp Sci, Worcester, MA 01610 USA

[2] Natl Univ Sci & Technol Politehn Bucharest, Fundamental Sci Appl Engn Res Ctr, Dept Math Methods & Models, Bucharest 060042, Romania

[3] Acad Romanian Scientists, Bucharest 050044, Romania

来源：

SYMMETRY-BASEL | 2024年 / 16卷 / 01期

关键词：

partitions; plane partitions; binomial coefficients; divisors; IDENTITIES; SERIES; PROOFS;

D O I：

10.3390/sym16010005

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 the sum of divisors d of n such that n/d is a power of 2 and derive a new decomposition for the number of plane partitions of n in terms of binomial coefficients as a sum over partitions of n. In this context, we introduce a new combinatorial interpretation of the number of plane partitions of n.

引用

页数：13

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