Séminaire CAESAR
de combinatoire additive
Séance du jeudi 15 janvier 2015
(11 heures, École polytechnique, salle de séminaire):
Diego MARQUES
(Brasilia, Brésil)
Weighted zero-sum problems over (C_3)^r
Let C_n be the cyclic group of order n and set s_A (C_n^r) as the smallest integer l such that every sequence in C_n^r
of length at least l has an A-zero-sum subsequence of length equal to the exponent of C_n^r, for A={-1,1}.
In this lecture, among other things, we shall give estimates for s_A (C_3^r), and we shall prove that s_A(C_3^3)=9,
s_A(C_3^4)=21 and 40 < s_A(C_3^5) < 46. This is a joint work with Hemar Godinho and Abilio Lemos published in Algebra and Discrete Mathematics 15 (2013), 201-212.
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