Mathematics – Number Theory
Scientific paper
2007-06-22
Mathematics
Number Theory
6 pages, final version to appear in FJMS
Scientific paper
We derive lower and upper bounds on possible growth rates of certain sets of
positive integers $A_k=\{1= a_1 < a_2 < ... < a_{k}\}$ such that all integers
$n\in \{0, 1, 2, ..., ka_{k}\}$ can be represented as a sum of no more than $k$
elements of $A_k$, with repetition.
Thomas Helmuth
Willigenburg Stephanie van
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