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Zbl 0063.00009
Erd\H{o}s, Paul; Ginzburg, A.; Ziv, A.
A theorem in additive number theory. (English)
[J] Bull. Res. Council Israel 10F, 41-43 (1961).

The authors prove that any sequence of $2n-1$ integers contains a subsequence of cardinality $n$ such that the sum of its elements is divisible by $n$.

MSC 2000:: *11B75 Combinatorial number theory
11P99 Additive number theory

Keywords: zero-sum sequence

Cited in: Zbl 1206.11029 Zbl 1198.11009 Zbl 1126.11011 Zbl 1161.11311 Zbl 1145.11022 Zbl 1111.11010 Zbl 1107.11015 Zbl 1102.11016 Zbl 1076.11011 Zbl 1142.11317 Zbl 1060.11011 Zbl 1058.11018 Zbl 1057.11011 Zbl 1140.11315 Zbl 0963.11013 Zbl 0892.11004 Zbl 0870.11016 Zbl 0804.11019 Zbl 0823.11006 Zbl 0774.05065 Zbl 0771.05054 Zbl 0762.05081

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