The 2-adic valuation of plane partitions and totally symmetric plane partitions

被引:0
作者
Keith, William J. [1 ]
机构
[1] Univ Lisbon, Ctr Linear Struct & Combinator, P-1699 Lisbon, Portugal
关键词
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper confirms a conjecture of Amdeberhan and Moll that the power of 2 dividing the number of plane partitions in an n-cube is greater than the power of 2 dividing the number of totally symmetric plane partitions in the same cube when n is even, and less when n is odd.
引用
收藏
页数:12
相关论文
共 50 条
[31]   Dominance Theory and Plane Partitions——Ⅳ.Enumeration of Row and Column Strict Reverse Plane Partitions [J].
Chu Wenchang(Research Institute of Applied Mathematics ;
DTT) .
数学研究与评论, 1989, (04) :622-622
[32]   Reduced words and plane partitions [J].
Fomin, S ;
Kirillov, AN .
JOURNAL OF ALGEBRAIC COMBINATORICS, 1997, 6 (04) :311-319
[33]   A matrix model for plane partitions [J].
Eynard, B. .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2009,
[34]   On free fermions and plane partitions [J].
Foda, O. ;
Wheeler, M. ;
Zuparic, M. .
JOURNAL OF ALGEBRA, 2009, 321 (11) :3249-3273
[35]   Plane Partitions and Their Pedestal Polynomials [J].
O. V. Ogievetsky ;
S. B. Shlosman .
Mathematical Notes, 2018, 103 :793-796
[36]   A DOMINANCE APPROACH FOR PLANE PARTITIONS [J].
初文昌 .
Systems Science and Mathematical Sciences, 1989, (02) :110-118
[37]   Reduced Words and Plane Partitions [J].
Sergey Fomin ;
Anatol N. Kirillov .
Journal of Algebraic Combinatorics, 1997, 6 :311-319
[38]   A Note on Binary Plane Partitions [J].
Discrete & Computational Geometry, 2003, 30 :3-16
[39]   Doppelgangers: Bijections of Plane Partitions [J].
Hamaker, Zachary ;
Patrias, Rebecca ;
Pechenik, Oliver ;
Williams, Nathan .
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2020, 2020 (02) :487-540
[40]   Generalized UC plane partitions [J].
Zhang, Shengyu ;
Yan, Zhaowen .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2025, 40 (04)