A theorem in additive number theory. (English) Zbl 0063.00009

Erdős, Paul; Ginzburg, A.; Ziv, A.

Bull. Res. Council Israel 10F, 41-43 (1961).

From the text: The authors prove the following theorem: Any sequence of \(2n-1\) integers contains a subsequence of cardinality \(n\) such that the sum of its elements is divisible by \(n\).

MSC:

11B75	Other combinatorial number theory
11P99	Additive number theory; partitions

Keywords:

zero-sum subsequence