English

Congruences modulo powers of $2$ for the number of unique path partitions

Combinatorics 2018-02-06 v1 Number Theory

Abstract

We compute the congruence class modulo 16 of the number of unique path partitions of nn (as defined by Olsson), thus generalising previous results by Bessenrodt, Olsson and Sellers [Ann. Combin. 13 (2013), 591-602].

Keywords

Cite

@article{arxiv.1604.05345,
  title  = {Congruences modulo powers of $2$ for the number of unique path partitions},
  author = {Christian Krattenthaler},
  journal= {arXiv preprint arXiv:1604.05345},
  year   = {2018}
}

Comments

AmS-LaTeX, 7 pages