Preprint in the OpenAI Math release

Sharp logarithmic exponents for fixed off-diagonal Ramsey numbers

OpenAI

Abstract

For every fixed integer s ≥ 6, we determine the sharp logarithmic exponent of the off-diagonal Ramsey number: $r (s, t) = \frac{t ^{s - 1}}{( lo g t ) ^{s - 2 + o (1)}} (t ⟶ \infty) .$

open until 1 Jan 2028

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