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arXiv · 2307.07237

On arithmetic sums of Cantor-type sequences of integers

Norbert Hegyvári
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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 $B=\{\lfloor p^nα\rfloor\}^\infty_{n=0}$. 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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Norbert Hegyvári. 2023-07-14. On arithmetic sums of Cantor-type sequences of integers. https://arxiv.org/abs/2307.07237

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