Zero-sum free sequences with small sum-set

Gautami Bhowmik (1) , Immanuel Halupczok (2) , Jan-Christoph Schlage-Puchta (3)

1 LPP - Laboratoire Paul Painlevé - UMR 8524
2 DMA - Département de Mathématiques et Applications - ENS Paris
3 Mathematisches institut

Let A be a zero-sum free subset of Z_n with |A|=k. We compute for k\le 7 the least possible size of the set of all subset-sums of A.

Domaines: Théorie des nombres [math.NT]

Gautami Bhowmik, Immanuel Halupczok, Jan-Christoph Schlage-Puchta. Zero-sum free sequences with small sum-set. Mathematics of Computation, 2009, pp.1-5. ⟨hal-00269095⟩