An asymptotically tight bound for the Davenport constant

Abstract : We prove that for every integer r => 1 the Davenport constant D(C^r_n) is asymptotic to rn when n tends to infinity. An extension of this theorem is also provided.
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Benjamin Girard. An asymptotically tight bound for the Davenport constant. Journal de l'École polytechnique — Mathématiques, École polytechnique, 2018, 5, pp.605-611. 〈http://www.math.polytechnique.fr/JEP/girard.pdf〉. 〈10.5802/jep.79〉. 〈hal-01592317v3〉

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