@article{Chen2024, 
author = {Feifei Chen and Shenghua Gao and Senlin Wu},
title = {Covering cross-polytopes with smaller homothetic copies},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {2},
pages = {4014-4020},
keywords = {convex body, covering functional, Hadwiger's covering conjecture, homothetic copy},
url = {https://www.sciopen.com/article/10.3934/math.2024195},
doi = {10.3934/math.2024195},
abstract = {Let        C          n       be an    n-dimensional cross-polytope and        Γ          p        (      C          n        ) be the smallest positive number    γ such that        C          n       can be covered by    p translates of    γ      C          n      . We obtain better estimates of        Γ                  2        n              (      C    n    ) for small    n and a universal upper bound of        Γ                  2        n              (      C    n    ) for all positive integers    n.}
}