MINIMAL ZERO-SUM SEQUENCES OF LENGTH FOUR OVER FINITE CYCLIC GROUPS II

DOI10.1142/S1793042113500012zbMath1286.11016arXiv1303.1682OpenAlexW2964281852MaRDI QIDQ4923253

Jiangtao Peng, Yuan Lin Li

Publication date: 6 June 2013

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.1682

zbMATH Keywords

index of sequencesminimal zero-sum sequences

Mathematics Subject Classification ID

Finite abelian groups (20K01) Sequences (mod (m)) (11B50) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (13)

Note on the index conjecture in zero-sum theory and its connection to a Dedekind-type sum ⋮ A note on minimal zero-sum sequences over Z ⋮ On the structure of n-zero-sum free sequences over cyclic groups of order n ⋮ The index of small length sequences ⋮ Solution to the index conjecture in zero-sum theory ⋮ On the structure of long zero-sum free sequences and \(n\)-zero-sum free sequences over finite cyclic groups ⋮ ON THE INDEX-CONJECTURE OF LENGTH FOUR MINIMAL ZERO-SUM SEQUENCES II ⋮ Long unsplittable zero-sum sequences over a finite cyclic group ⋮ Minimal zero-sum sequences of length four over cyclic group with order \(n = p^{\alpha} q^{\beta}\) ⋮ On the structure of long unsplittable minimal zero-sum sequences ⋮ On a conjecture of Lemke and Kleitman ⋮ ON THE INDEX-CONJECTURE ON LENGTH FOUR MINIMAL ZERO-SUM SEQUENCES ⋮ On the index conjecture in zero-sum theory: Singular case

Cites Work

• Combinatorial number theory and additive group theory. With a foreword by Javier Cilleruelo, Marc Noy and Oriol Serra (Coordinators of the DocCourse)
• Indexes of unsplittable minimal zero-sum sequences of length \(I(C_n)-1\)
• Minimal zero sum sequences of length four over finite cyclic groups
• On products of \(k\) atoms.
• Minimal zero-sequences and the strong Davenport constant
• On the index of minimal zero-sum sequences over finite cyclic groups
• Long zero-free sequences in finite cyclic groups.
• On the index of sequences over cyclic groups
• REPRESENTATIONS OF INTEGERS BY THE FORM x² + xy + y² + z² + zt + t²

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