The Largest Size of $(t,t+d,t+2d)$-Core Partitions
In 2007, Olsson and Stanton determined the largest size of $(t_1,t_2)$-core partitions. Inspired by their result, there have been considerable research on the largest size of simultaneous core partitions. In this work, we compute the largest size of $(t,t+d,t+2d)$-core partitions for any coprime positive integers $t$ and $d$. This generalizes the result by Yang, Zhong, and Zhou, who proved the largest size of $(t,t+1,t+2)$-core partitions.
Authors
- Hayan Nam (ORCID: https://orcid.org/0000-0002-8584-0580)
- Hyunsoo Cho (ORCID: https://orcid.org/0000-0002-5273-3295)
- K. S. Lee
Institutions
- Yonsei University (KR)
- Ewha Womans University Medical Center (KR)
- Duksung Women's University (KR)
Publication Details
- Journal
- The Electronic Journal of Combinatorics
- Published
- 2025-06-19
- DOI
- https://doi.org/10.37236/13696
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Research Foundation
- National Research Foundation of Korea
- Ministry of Science and ICT, South Korea