Positivity and tails of pentagonal number series
Combinatorics
2024-07-02 v3
Abstract
In this paper, we refine a result of Andrews and Merca on truncated pentagonal number series. Subsequently, we establish some positivity results involving Andrews--Gordon--Bressoud identities and -regular partitions. In particular, we prove several conjectures of Merca and Krattenthaler--Merca--Radu on truncated pentagonal number series.
Keywords
Cite
@article{arxiv.2403.06196,
title = {Positivity and tails of pentagonal number series},
author = {Nian Hong Zhou},
journal= {arXiv preprint arXiv:2403.06196},
year = {2024}
}