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

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2012年 / 19卷 / 01期

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

页数：12

共 50 条

[21] Dominance Theory and Plane partitions——Ⅱ. Enumeration of Reverse Plane Partitions [J].

<Auhtor>Chu Wengchang(Institute of Applied Mathematics ;

DUT) .

数学研究与评论, 1989, (03) :336-335

[22] Dominance Method for Plane Partitions Ⅲ—Flagged Skew Plane Partitions [J].

初文昌 .

ActaMathematicaSinica, 1989, (04) :321-328

[23] SYMMETRIES OF PLANE PARTITIONS [J].

STANLEY, RP .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 1986, 43 (01) :103-113

[24] Inequalities for Plane Partitions [J].

Heim, Bernhard ;

Neuhauser, Markus ;

Troger, Robert .

ANNALS OF COMBINATORICS, 2023, 27 (01) :87-108

[25] Inequalities for Plane Partitions [J].

Bernhard Heim ;

Markus Neuhauser ;

Robert Tröger .

Annals of Combinatorics, 2023, 27 :87-108

[26] BKP plane partitions [J].

Foda, Omar ;

Wheeler, Michael .

JOURNAL OF HIGH ENERGY PHYSICS, 2007, (01)

[27] Plane Partitions and Divisors [J].

Ballantine, Cristina ;

Merca, Mircea .

SYMMETRY-BASEL, 2024, 16 (01)

[28] Totally symmetric self-complementary plane partitions and the quantum Knizhnik-Zamolodchikov equation: a conjecture [J].

Di Francesco, P. .

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2006,

[29] On the doubly refined enumeration of alternating sign matrices and totally symmetric self-complementary plane partitions [J].

Fonseca, Tiago ;

Zinn-Justin, Paul .

ELECTRONIC JOURNAL OF COMBINATORICS, 2008, 15 (01)

[30] The equivalence between enumerating cyclically symmetric, self-complementary and totally symmetric, self-complementary plane partitions [J].

Ciucu, M .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 1999, 86 (02) :382-389

← 1 2 3 4 5 →