On exactlym times covers |
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| Authors: | Zhi-Wei Sun |
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| Institution: | (1) Department of Mathematics, Nanjing University, 210008 Nanjing, People’s Republic of China |
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| 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.
Research supported by the National Nature Science Foundation of P.R. of China. |
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| Keywords: | |
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