Erdős, Paul; Ginzburg, A.; Ziv, A. A theorem in additive number theory. (English) Zbl 0063.00009 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 \(n\). Cited in 33 ReviewsCited in 39 Documents MSC: 11B75 Other combinatorial number theory 11P99 Additive number theory; partitions Keywords:zero-sum subsequence PDF BibTeX XML Full Text: Link Online Encyclopedia of Integer Sequences: Number of n-element subsets of {1,2,...,2n-1} whose elements sum to a multiple of n.