Weighted zero-sum problems over C₃ʳ

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2013
• Hauptverfasser: Godinho, H., Lemos, A., Marques, D.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2013
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/152283
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Weighted zero-sum problems over C₃ʳ / H. Godinho, A. Lemos, D. Marques // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 201–212. — Бібліогр.: 13 назв. — англ.

Let Cn be the cyclic group of order n and set sA(Crn) as the smallest integer ℓ such that every sequence S in Cʳn of length at least ℓ has an A-zero-sum subsequence of length equal to exp(Cʳn), for A = {−1, 1}. In this paper, among other things, we give estimates for sA(C₃ʳ), and prove that sA(C₃³)...