We obtain several lower bounds on the product set of combinatorial cubes, as well as some non–trivial upper estimates for the multiplicative energy of such sets.

中文翻译：

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关于组合立方体的和和乘积

我们获得了组合立方体的乘积集的几个下界，以及对这些集合的乘法能量的一些非平凡的上估计。