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
收藏
页数：12
相关论文
共 50 条
  • [41] Plane overpartitions and cylindric partitions
    Corteel, Sylvie
    Savelief, Cyrille
    Vuletic, Mirjana
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2011, 118 (04) : 1239 - 1269
  • [42] A note on binary plane partitions
    Tóth, CD
    DISCRETE & COMPUTATIONAL GEOMETRY, 2003, 30 (01) : 3 - 16
  • [43] Random Sampling of Plane Partitions
    Bodini, Olivier
    Fusy, Eric
    Pivoteau, Carine
    COMBINATORICS PROBABILITY & COMPUTING, 2010, 19 (02): : 201 - 226
  • [44] On the exhaustive generation of plane partitions
    Mantaci, R.
    Massazza, P.
    THEORETICAL COMPUTER SCIENCE, 2013, 502 : 153 - 164
  • [45] Discrete Tomography and plane partitions
    Dulio, P.
    Peri, C.
    ADVANCES IN APPLIED MATHEMATICS, 2013, 50 (03) : 390 - 408
  • [46] CONSTRUCTIVE ENUMERATION OF PLANE PARTITIONS
    BENDER, EA
    KNUTH, DE
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (04): : 659 - &
  • [47] Plane Partitions and Their Pedestal Polynomials
    Ogievetsky, O. V.
    Shlosman, S. B.
    MATHEMATICAL NOTES, 2018, 103 (5-6) : 793 - 796
  • [48] Plane Partitions and a Problem of Josephus
    Merca, Mircea
    MATHEMATICS, 2023, 11 (24)
  • [49] UC and BUC plane partitions
    Zhang, Shengyu
    Yan, Zhaowen
    EUROPEAN PHYSICAL JOURNAL C, 2024, 84 (04):
  • [50] THEORY AND APPLICATION OF PLANE PARTITIONS .2.
    STANLEY, RP
    STUDIES IN APPLIED MATHEMATICS, 1971, 50 (03) : 259 - &
12345