English

New congruences for broken $k$-diamond partitions

Combinatorics 2017-09-11 v1

Abstract

The notion of broken kk-diamond partitions was introduced by Andrews and Paule. Let Δk(n)\Delta_{k}(n) denote the number of broken kk-diamond partitions of nn for a fixed positive integer kk. In this paper, we establish new infinite families of broken kk-diamond partition congruences.

Keywords

Cite

@article{arxiv.1709.02584,
  title  = {New congruences for broken $k$-diamond partitions},
  author = {Dazhao Tang},
  journal= {arXiv preprint arXiv:1709.02584},
  year   = {2017}
}

Comments

8 pages

R2 v1 2026-06-22T21:36:56.081Z