{"id":"palomar/PALOMAR-2026-10-29-000002","url":"https://github.com/lowrank/LorentzLean/tree/2a1df3648ae31700b94dabd6aa4f81ebb57842b9/lean","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-10-29-000002-v1.json","repo":"https://github.com/lowrank/LorentzLean","tags":["math.CA","msc:41A10","msc:41A50","msc:68V15"],"score":0,"title":"Self-similar counterexamples to three conjectures of Lorentz","trust":"high","domain":"math.CA","source":"palomar","authors":["Yimin Zhong"],"reviews":0,"subject":"math.CA","summary":"Three continuous counterexamples in uniform polynomial approximation: a nonodd function whose best approximants all vanish at zero, a nonodd function with plateaus at degrees (2k+1,2k+2), and a noneven function with plateaus at degrees (2k,2k+1). Exact algebraic certificates, analytic contact persistence, and cubic self-similarity prove all three results. This repository contains the substantive formalization and formalizes the owner-supplied mathematical manuscripts.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"verified":true,"discussed":0,"published":"2026-10-29","reactions":{},"formalized":true,"formalizes":[{"title":"Self-similar counterexamples to three conjectures of Lorentz","identifier":"","relationship":"formalizes"}]}