Arithmetic Properties of m-ary Partitions Without Gaps

被引：2
作者：
Andrews, George E. [1 ]
Brietzke, Eduardo [2 ]
Rodseth, Oystein J. [3 ]
Sellers, James A. [1 ]
机构：
[1] Penn State Univ, Dept Math, 104 McAllister Bldg, University Pk, PA 16802 USA
[2] Univ Fed Rio Grande do Sul, Inst Math, CP 15080, BR-91509900 Porto Alegre, RS, Brazil
[3] Univ Bergen, Dept Math, Allegt 41, N-5007 Bergen, Norway
来源：
ANNALS OF COMBINATORICS | 2017年 / 21卷 / 04期
关键词：
m-ary partitions; unique path partitions; congruences; CONGRUENCES;
D O I：
10.1007/s00026-017-0369-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Motivated by recent work of Bessenrodt, Olsson, and Sellers on unique path partitions, we consider partitions of an integer n wherein the parts are all powers of a fixed integer and there are no "gaps" in the parts; that is, if is the largest part in a given partition, then also appears as a part in the partition for each . Our ultimate goal is to prove an infinite family of congruences modulo powers of m which are satisfied by these functions.
引用
收藏
页码：495 / 506
页数：12
相关论文
共 24 条
123