论文标题
一致性类和最大nonbase
Congruence classes and maximal nonbases
论文作者
论文摘要
套装$ a $是订单$ h $的渐近非基础，对于$ h $ h $ fold $ fold $ fold $ fold $ ha $，$ x $的添加剂$ h $。对于所有$ h \ geq 2 $，本文构建了$ \ mathbf {z} $的订单$ h $的新类别，而对于$ \ mathbf {n} _0 $，不是最大的渐近型nonbases的子集。
The set $A$ is an asymptotic nonbasis of order $h$ for an additive abelian group $X$ if there are infinitely many elements of $X$ not in the $h$-fold sumset $hA$. For all $h \geq 2$, this paper constructs new classes of asymptotic nonbases of order $h$ for $\mathbf{Z}$ and for $\mathbf{N}_0$ that are not subsets of maximal asymptotic nonbases.
