diff --git a/constants/3c.md b/constants/3c.md index 998eb32..f9f618f 100644 --- a/constants/3c.md +++ b/constants/3c.md @@ -30,6 +30,7 @@ $$ A \stackrel{G}{\pm} rB := \{ a \pm rb: a \in A, b \in B\}.$$ | $1.668$ | [GGSWT2025] | | | $1.67471$ | [A2026] | | | $1.67473389$ | [G2026] | Entropy construction on a 26-point support. | +| $1.6747338950208249$ | [MI2026] | Entropy construction on a 95-point support. | @@ -50,6 +51,7 @@ $$ H(X-Y) \leq C_{3c} \max( H(X), H(Y), H(X+Y), H(X+2Y)).$$ This entropy formula - [GGSWT2025] Georgiev, Bogdan; Gómez-Serrano, Javier; Tao, Terence; Wagner, Adam Zsolt. Mathematical exploration and discovery at scale. [arXiv:2511.02864](https://arxiv.org/abs/2511.02864) - [GR2019] Green, B.; Ruzsa, I. Z. On the arithmetic Kakeya conjecture of Katz and Tao. Periodica Mathematica Hungarica, Volume 78, Issue 1, pp 135–151 (2019). DOI: 10.1007/s10958-018-2003-3. - [L2015] Lemm, Marius. New counterexamples for sums-differences. Proceedings of the American Mathematical Society, Vol. 143, No. 9 (SEPTEMBER 2015), pp. 3863-3868 (6 pages). DOI: 10.1090/proc/12731. +- [MI2026] Mosaic Intelligence ([@111111](https://x.com/111111)). 95-point entropy certificate for $C_{3c}$, [submitted to this repository](https://github.com/teorth/optimizationproblems/pull/93) (2026). - [KT1999] Katz, Nets Hawk; Tao, Terence. Bounds on arithmetic projections, and applications to the Kakeya conjecture. Math. Res. Lett. 6 (1999), no. 5-6, 625-630. DOI: 10.4310/MRL.1999.v6.n6.a3. - [KT2002] Katz, N. H.; Tao, T. New bounds for Kakeya problems. J. Anal. Math. 87 (2002), 231–263. DOI: 10.1007/BF02792310.