Abstract
Text Let S be a sequence of n nonnegative integers not exceeding n − 1 such that S takes at least three distinct values. We show that S has two nonempty ( mod n ) zero-sum subsequences with distinct lengths. This proves a conjecture of R.L. Graham. The validity of this conjecture was verified by Erdős and Szemerédi for all sufficiently large prime n. Video For a video summary of this paper, please click here or visit http://www.youtube.com/watch?v=LftJj-E6aQA.
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