From 79fc6f766def10eaa6b7dbb0a34ac5b8d88f1041 Mon Sep 17 00:00:00 2001 From: Sebastian Griego <177274079+sebastian-griego@users.noreply.github.com> Date: Wed, 13 May 2026 10:23:11 -0700 Subject: [PATCH] Improve C_3a lower bound --- constants/3a.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/constants/3a.md b/constants/3a.md index f9a3102..f70f262 100644 --- a/constants/3a.md +++ b/constants/3a.md @@ -22,6 +22,7 @@ $$ |A-B| \gg |A+B|^{C_{3a}}.$$ | $1.1479$ | [GGSWT2025] | AlphaEvolve | $1.173050$ |[G2025] | | $1.173077$ |[Z2025]| +| $1.1740744$ | [SG2026] | Base-$21$ digit construction with exact counting certificate. | ## Additional comments and links @@ -36,3 +37,4 @@ $C_{3a} \geq 1 + \log( \lvert U-U \rvert /\lvert U+U \rvert )/\log(2 \max(U)+1)$ - [G2025] Gerbicz, Robert. Sums and differences of sets (improvement over AlphaEvolve), 2025. [arXiv:2505.16105](https://arxiv.org/abs/2505.16105). - [GHR2007] Gyarmati, Katalin; Hennecart, François; Ruzsa, Imre Z. Sums and differences of finite sets. Functiones et Approximatio Commentarii Mathematici, 37(1):175–186, 2007. - [Z2025] Zheng, Fan. Sums and differences of sets: a further improvement over AlphaEvolve, 2025. [arXiv:2506.01896](https://arxiv.org/abs/2506.01896). +- [SG2026] Griego, Sebastian. Base-$21$ digit construction certificate for $C_{3a}$, submitted to this repository (2026).