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Olson's theorem for cyclic groups | V. Vu
; | Date: |
23 Jun 2005 | Subject: | Number Theory; Combinatorics MSC-class: 11B75 | math.NT math.CO | Abstract: | Let $n$ be a large number. A subset $A$ of $Z_n$ is complete if $S_A = Z_n$, where $S_A$ is the collection of the subset sums of $A$. Olson proved that if $n$ is a prime and $|A|> 2n^{1/2} $, then $S_A$ is complete. We show that a similar result for the case when $n$ is a composite number, using a different approach. | Source: | arXiv, math.NT/0506483 | Services: | Forum | Review | PDF | Favorites |
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