Details

Autor(en) / Beteiligte

• Glazyrin, Alexey
• Karasev, Roman
• Polyanskii, Alexander

Titel

Extensions of polynomial plank covering theorems

Ist Teil von

• The Bulletin of the London Mathematical Society, 2024-03, Vol.56 (3), p.1014-1028

Erscheinungsjahr

2024

Quelle

Wiley Online Library

Beschreibungen/Notizen

• We prove a 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.