On the number of partitions of a number into distinct divisors
Let $p_{\textrm{dsd}} (n)$ be the number of partitions of $n$ into distinct squarefree divisors of $n$. In this note, we find a lower bound for $p_{\textrm{dsd}} (n)$, as well as a sequence of $n$ for which $p_{\textrm{dsd}} (n)$ is unusually large.
Authors
- Noah Lebowitz-Lockard (ORCID: https://orcid.org/0000-0002-2214-0624)
- Joseph Vandehey
Publication Details
- Journal
- Notes on Number Theory and Discrete Mathematics
- Published
- 2024-10-31
- DOI
- https://doi.org/10.7546/nntdm.2024.30.3.654-661
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 0.00