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Eric Balandraud, Benjamin Girard, Simon Griffiths, Yahya Ould Hamidoune

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Subset sums in abelian groups

Year: 2013 • Source: hal.science • Listed PDF

Denoting by Sigma(S) the set of subset sums of a subset S of a finite abelian group G, we prove that |Sigma(S)| >= |S|(|S|+2)/4-1 whenever S is symmetric, |G| is odd and Sigma(S) is aperiodic. Up to an additive constant ...