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

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.

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.

@article{JTNB_2002__14_1_221_0,
     author = {Geroldinger, Alfred and Hamidoune, Yahya Ould},
     title = {Zero-sumfree sequences in cyclic groups and some arithmetical application},
     journal = {Journal de Th\'eorie des Nombres de Bordeaux},
     pages = {221--239},
     publisher = {Universit\'e Bordeaux I},
     volume = {14},
     number = {1},
     year = {2002},
     zbl = {1018.11011},
     mrnumber = {1925999},
     language = {en},
     url = {archive.numdam.org/item/JTNB_2002__14_1_221_0/}
}
Geroldinger, Alfred; Hamidoune, Yahya Ould. Zero-sumfree sequences in cyclic groups and some arithmetical application. Journal de Théorie des Nombres de Bordeaux, Tome 14 (2002) no. 1, pp. 221-239. http://archive.numdam.org/item/JTNB_2002__14_1_221_0/

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