Abstract
We are looking for integer sets that resemble classical Cantor set and investigate the structure of their sum sets. Especially we investigate FS(B) the subset sum of sequence type B={⌊pnα⌋}n=0∞. When p=2, then we prove FS(B)+FS(B)=N by analogy with the Cantor set, and some structure theorem for p>2.
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