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Results tagged with sumsets
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user 16537
18
votes
Accepted
Sets that are not sum of subsets
Related questions are discussed in
Antoniou and T., On the Arithmetic of Power Monoids and Sumsets in Cyclic Groups, Pacific J. …
- 10.5k
2
votes
0
answers
137
views
The set of lengths of $nX$ gets larger and larger for every non-zero, non-empty, finite $X \...
Let $H$ be a multiplicatively written monoid with identity $1_H$. Given $x \in H$, we take ${\sf L}_H(x) := \{0\}$ if $x = 1_H$; otherwise, ${\sf L}_H(x)$ is the set of all $k \in \mathbf N^+$ for whi …
- 10.5k
6
votes
sum-sets in a finite field
I first learned about this problem from Éric Balandraud (in 2013). So I wrote to him a couple of days ago, and he has just sent me an e-mail explaining that the question dates back (at least) to 1971. …
- 10.5k