POLYGONAL PARTITIONS

被引：1
作者：
Kim, Byungchan [1 ]
机构：
[1] Seoul Natl Univ Sci & Technol, Sch Liberal Arts, Seoul 01811, South Korea
来源：
KOREAN JOURNAL OF MATHEMATICS | 2018年 / 26卷 / 02期
关键词：
Partitions; group action; partition congruence;
D O I：
10.11568/kjm.2018.26.2.167
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By acting the dihedral group D-k on the set of k-tuple multi-partitions, we introduce k-gonal partitions for all positive integers k. We give generating functions for these new partition functions and investigate their arithmetic properties.
引用
收藏
页码：167 / 174
页数：8
相关论文
共 50 条
[31]   Partitions and the Minimal Excludant [J].
George E. Andrews ;
David Newman .
Annals of Combinatorics, 2019, 23 :249-254
[32]   Partitions into Beatty sequences [J].
Zhou, Nian Hong .
RAMANUJAN JOURNAL, 2022, 59 (04) :1007-1021
[33]   Root polytope and partitions [J].
Rocco Chirivì .
Journal of Algebraic Combinatorics, 2015, 41 :49-71
[34]   Partitions in 3 colours [J].
Michael D. Hirschhorn .
The Ramanujan Journal, 2018, 45 :399-411
[35]   On the distribution of the norm of partitions [J].
Bridges, Walter ;
Craig, William .
RAMANUJAN JOURNAL, 2025, 66 (02)
[36]   On partitions into four cubes [J].
Moreno, Agustin ;
Palma, Paola .
BOLETIN DE MATEMATICAS, 2009, 16 (02) :125-147
[37]   Partitions and powers of 13 [J].
Hirschhorn, Michael D. .
JOURNAL OF NUMBER THEORY, 2017, 178 :146-157
[38]   Counting Partitions of Graphs [J].
Hell, Pavol ;
Hermann, Miki ;
Nevisi, Mayssam Mohammadi .
ALGORITHMS AND COMPUTATION, ISAAC 2012, 2012, 7676 :227-236
[39]   Partitions in 3 colours [J].
Hirschhorn, Michael D. .
RAMANUJAN JOURNAL, 2018, 45 (02) :399-411
[40]   Notes on Fibonacci Partitions [J].
Weinstein, F. V. .
EXPERIMENTAL MATHEMATICS, 2016, 25 (04) :482-500
12345