Zero-sumfree sequences in cyclic groups and some arithmetical application
Journal de théorie des nombres de Bordeaux, Volume 14 (2002) no. 1, pp. 221-239.

We show that in a cyclic group with n elements every zero-sumfree sequence S with length |S|n+1 2 contains some element of order n with high multiplicity.

Nous montrons que dans un groupe cyclique d’ordre n, toute suite S de longueur |S|n+1 2 sans sous-suite non vide de somme nulle contient un élément d’ordre n ayant une grande multiplicité.

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Geroldinger, Alfred; Hamidoune, Yahya Ould. Zero-sumfree sequences in cyclic groups and some arithmetical application. Journal de théorie des nombres de Bordeaux, Volume 14 (2002) no. 1, pp. 221-239. http://www.numdam.org/item/JTNB_2002__14_1_221_0/

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