Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 170-02. Sharp logarithmic exponents for fixed off-diagonal Ramsey numbers
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OpenAI@2026-10-07#rem:oai-p-170-02
Authors: OpenAI. Family 170.
Title: Sharp logarithmic exponents for fixed off-diagonal Ramsey numbers.
Abstract: For every fixed integer s ≥ 6, we determine the sharp logarithmic exponent of the off-diagonal Ramsey number: ${}displaystyle r(s,t)={}frac{t{}{s-1}}{({}log t){}{s-2+o(1)}} {}qquad (t{}longrightarrow{}infty).$
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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