A Proof of Moll's Minimum Conjecture
| dc.creator | Chen, William Y. C. | |
| dc.creator | Xia, Ernest X. W. | |
| dc.date | 2009-04-06 | |
| dc.date.accessioned | 2026-07-07T13:00:46Z | |
| dc.date.available | 2026-07-07T13:00:46Z | |
| dc.description | Let $d_i(m)$ denote the coefficients of the Boros-Moll polynomials. Moll's minimum conjecture states that the sequence $\{i(i+1)(d_i^2(m)-d_{i-1}(m)d_{i+1}(m))\}_{1\leq i \leq m}$ attains its minimum with $i=m$. This conjecture is a stronger than the log-concavity conjecture proved by Kausers and Paule. We give a proof of Moll's conjecture by utilizing the spiral property of the sequence $\{d_i(m)\}_{0\leq i \leq m}$, and the log-concavity of the sequence $\{i!d_i(m)\}_{0\leq i \leq m}$. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/0904.0841 | |
| dc.identifier | http://arxiv.org/abs/0904.0841 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225940 | |
| dc.subject | Combinatorics | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | A Proof of Moll's Minimum Conjecture | |
| dc.type | text |