Zero-sumfree sequences in cyclic groups and some arithmetical application

Geroldinger, Alfred; Hamidoune, Yahya Ould

Geroldinger, Alfred ; Hamidoune, Yahya Ould

Journal de théorie des nombres de Bordeaux, Tome 14 (2002) no. 1, pp. 221-239.

Résumé
Abstract

Nous montrons que dans un groupe cyclique d’ordre $n$ , toute suite $S$ de longueur $| S | \geq \frac{n + 1}{2}$ 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 $| S | \geq \frac{n + 1}{2}$ contains some element of order $n$ with high multiplicity.

MR Zbl | 1 citation dans Numdam

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     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},
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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, Tome 14 (2002) no. 1, pp. 221-239. http://www.numdam.org/item/JTNB_2002__14_1_221_0/

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