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PreprintarXiv licencearXiv

A counterexample to a log-concavity conjecture of Brenti

Abstract

This note records a counterexample to Brenti's 1998 conjecture that the nonzero coefficients of R̃-polynomials form a log-concave sequence.

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BibTeX
@misc{gaetz2026counterexample,
  title = {{A counterexample to a log-concavity conjecture of Brenti}},
  author = {Christian Gaetz},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.13836},
  eprint = {2608.13836},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.13836},
}
RIS
TY  - UNPB
TI  - A counterexample to a log-concavity conjecture of Brenti
AU  - Christian Gaetz
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2608.13836
UR  - https://arxiv.org/abs/2608.13836
AB  - This note records a counterexample to Brenti's 1998 conjecture that the nonzero coefficients of R̃-polynomials form a log-concave sequence.
ER  -