Abstract
In this paper it is shown that if every integer is covered bya 1+n 1ℤ,…,a k +n k ℤ exactlym times then for eachn=1,…,m there exist at least ( n m ) subsetsI of {1,…k} such that ∑ i ∈ I 1/n i equalsn. The bound ( n m ) is best possible.
Keywords
Lower Bound Group Theory Number Theory Surprising Result Unsolved Problem
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