We consider a special type of integer partitions in which the parts of the form $p^aq^b$, for some relatively prime integers $p$ and $q$, are restricted by divisibility conditions. We investigate the problems of generating and encoding those partitions and give some estimates for several partition functions.
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机译：我们考虑一种特殊类型的整数分区，其中对于某些相对质数整数$ p $和$ q $，形式$ p ^ aq ^ b $的部分受除数条件的限制。我们研究了生成和编码这些分区的问题，并对几种分区功能给出了一些估计。
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