Extensions of polynomial plank covering theorems

Authors

Alexey Glazyrin, The University of Texas Rio Grande Valley
Roman Karasev
Alexandr Polyanskii

Document Type

Article

Publication Date

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.

Comments

Original published version available at

https://doi.org/10.1112/blms.12979

Recommended Citation

Glazyrin, A., Karasev, R. and Polyanskii, A. (2024), Extensions of polynomial plank covering theorems. Bull. London Math. Soc.. https://doi.org/10.1112/blms.12979

Publication Title

Bull. London Math. Soc.

DOI

10.1112/blms.12979