PreprintarXiv licencearXiv
The logarithmic exponent of the Ramsey number r(4,t)
Abstract
We prove that r(4,t) ≥ t3/((log t)2+o(1)). This improves the lower bound of Mattheus and Verstraëte (Ann. of Math., 2024) by a factor of (log t)2−o(1).
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BibTeX
@misc{lin2026logarithmic,
title = {{The logarithmic exponent of the Ramsey number $r(4,t)$}},
author = {Qizhong Lin and Qiuyang Zhang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.17891},
eprint = {2610.17891},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.17891},
}
RIS
TY - UNPB
TI - The logarithmic exponent of the Ramsey number r(4,t)
AU - Qizhong Lin
AU - Qiuyang Zhang
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2610.17891
UR - https://arxiv.org/abs/2610.17891
AB - We prove that r(4,t) ≥ t^3/((log t)^2+o(1)). This improves the lower bound of Mattheus and Verstraëte (Ann. of Math., 2024) by a factor of (log t)^2−o(1).
ER -