From f82c4689d171f2320af5681c4f2baea9142038e1 Mon Sep 17 00:00:00 2001 From: Taksh Date: Sat, 29 Aug 2026 17:10:26 +0530 Subject: [PATCH] Fix citation keys O2013 and Ta2004 to match bibliographies MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit 22b cites Olsen2013 as O2013; 46a cites Tao2004 as Ta2004 — both keys were missing from their page bibliographies. --- constants/22b.md | 2 +- constants/46a.md | 4 ++-- 2 files changed, 3 insertions(+), 3 deletions(-) diff --git a/constants/22b.md b/constants/22b.md index 8bba8e97..4292e6cb 100644 --- a/constants/22b.md +++ b/constants/22b.md @@ -14,7 +14,7 @@ Upper bounds are typically found by constructing alternating torus knots or link | Bound | Reference | Comments | | ----- | --------- | -------- | |$2\pi+2\approx 8.28$ | Trivial | Hopf chain link of stadium curves -| 8.50| [O2013] | Double helix | +| 8.50| [Olsen2013] | Double helix | | 7.63| [Huh2018] | Four-strand superhelix | | $1+\pi\sqrt{4+\frac{1}{\pi^2}}\approx 7.36$| [Klotz2021] | Wrapped circle | | 7.31| [Kim2024] | Asymmetric double helix | diff --git a/constants/46a.md b/constants/46a.md index 63e1fabc..8cc2578e 100644 --- a/constants/46a.md +++ b/constants/46a.md @@ -36,9 +36,9 @@ $$ - Many papers work with the paraboloid model surface (or a bounded subset thereof); by localization and rescaling, the best-known exponents for compact strictly convex surfaces (including $S^2$) track the paraboloid results up to standard $\varepsilon$-losses that can often be removed by "epsilon removal lemmas". -- For most of the results in the literature, the $L^\infty(S^2)$ norm on the right-hand side can be replaced with $L^q(S^2)$ for various $q$; for instance, in the Tomas-Stein theorem one can take $q=2$. There are also bilinear and multilinear variants of the conjecture. See for instance [Ta2004] for more discussion. +- For most of the results in the literature, the $L^\infty(S^2)$ norm on the right-hand side can be replaced with $L^q(S^2)$ for various $q$; for instance, in the Tomas-Stein theorem one can take $q=2$. There are also bilinear and multilinear variants of the conjecture. See for instance [Tao2004] for more discussion. -- Stein's restriction conjecture $C_{46}=3$ implies the Kakeya conjecture in ${\mathbb R}^3$ (see, e.g., [Ta2004]), which was recently proven in [WZ2025]. +- Stein's restriction conjecture $C_{46}=3$ implies the Kakeya conjecture in ${\mathbb R}^3$ (see, e.g., [Tao2004]), which was recently proven in [WZ2025]. ## References