
School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Document Type
Article
Publication Date
3-2024
Abstract
We prove the complex polynomial plank covering theorem for not necessarily homogeneous polynomials. As the consequence of this result, we extend the complex plank theorem of Ball to the case of planks that are not necessarily centrally symmetric and not necessarily round. We also prove a weaker version of the spherical polynomial plank covering conjecture for planks of different widths.
Recommended Citation
Glazyrin, Alexey, Roman Karasev, and Alexander Polyanskii. "Extensions of polynomial plank covering theorems." Bulletin of the London Mathematical Society 56, no. 3 (2024): 1014-1028. https://doi.org/10.1112/blms.12979
Publication Title
Bulletin of the London Mathematical Society
DOI
10.1112/blms.12979
Comments
Original published version available at
https://doi.org/10.1112/blms.12979