Unimodality and log-concavity of generalized Glasby-Paseman sequences
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866915940307828736 |
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| author | Byun, Seok Hyun Poznanović, Svetlana |
| author_facet | Byun, Seok Hyun Poznanović, Svetlana |
| contents | In this paper, we consider a two-parameter ($l$ and $a$) generalization of a sequence that Glasby and Paseman considered. Based on computer experiments, we conjecture its unimodality, log-concavity, peak positions, and the asymptotic behavior of the maximum values. Then we prove this conjecture for the case where $l=2$ and $a=1$. We finish the paper by making some comments about the conjecture on the generalized sequence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_14639 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Unimodality and log-concavity of generalized Glasby-Paseman sequences Byun, Seok Hyun Poznanović, Svetlana Combinatorics 05A10 In this paper, we consider a two-parameter ($l$ and $a$) generalization of a sequence that Glasby and Paseman considered. Based on computer experiments, we conjecture its unimodality, log-concavity, peak positions, and the asymptotic behavior of the maximum values. Then we prove this conjecture for the case where $l=2$ and $a=1$. We finish the paper by making some comments about the conjecture on the generalized sequence. |
| title | Unimodality and log-concavity of generalized Glasby-Paseman sequences |
| topic | Combinatorics 05A10 |
| url | https://arxiv.org/abs/2604.14639 |