Covering by Planks and Avoiding Zeros of Polynomials

DOI10.1093/imrn/rnac259zbMath1526.46007arXiv2112.05382MaRDI QIDQ6115204

Aleksandr A. Polyanskii, Alexey Glazyrin, Roman N. Karasev

Publication date: 12 July 2023

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.05382

zbMATH Keywords

spherical segmentBang plank covering theoremFejes Tóth zone conjecturezero sets of multivariate polynomials

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Geometry and structure of normed linear spaces (46B20) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Combinatorial aspects of packing and covering (05B40)

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The complex plank problem, revisited ⋮ Extensions of polynomial plank covering theorems

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