无平方模覆盖系统最小模的上界
An upper bound for the minimum modulus in a covering system with squarefree moduli
摘要：
基于P. Balister，B.博略巴什河Morris，J. Sahasrabudhe和M. Tiba，我们表明，如果覆盖系统有不同的平方模，那么最小模是最多118。我们还表明，在一般情况下，$k^{\rm th}$最小模的覆盖系统具有不同的模（提供它是需要的覆盖）是有界的一个绝对常数。
英文摘要：
Based on work of P. Balister, B. Bollobás, R. Morris, J. Sahasrabudhe and M. Tiba, we show that if a covering system has distinct squarefree moduli, then the minimum modulus is at most 118. We also show that in general the $k^{\rm th}$ smallest modulus in a covering system with distinct moduli (provided it is required for the covering) is bounded by an absolute constant.
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