Remarks on the plus–minus weighted Davenport constant

DOI10.1142/S1793042114500225zbMath1368.11011arXiv1308.3316OpenAlexW2146996367MaRDI QIDQ2876600

Oscar Ordaz, Wolfgang Alexander Schmid, Luz Elimar Marchan

Publication date: 19 August 2014

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

Full work available at URL: https://arxiv.org/abs/1308.3316

zbMATH Keywords

Davenport constantadditive combinatoricszero-sum sequencedissociated set

Mathematics Subject Classification ID

Units and factorization (11R27) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (7)

Monoids of sequences over finite abelian groups defined via zero-sums with respect to a given set of weights and applications to factorizations of norms of algebraic integers ⋮ On monoids of plus-minus weighted zero-sum sequences: the isomorphism problem and the characterization problem ⋮ On the number of fully weighted zero-sum subsequences ⋮ Arithmetical interpretation of weighted Davenport constants. ⋮ The $\{1,s\}$-weighted Davenport constant in $C_n^k$ ⋮ Unnamed Item ⋮ Inverse results for weighted Harborth constants

Cites Work

• On weighted zero-sum sequences
• On the Davenport constant and on the structure of extremal zero-sum free sequences
• A weighted generalization of two theorems of Gao
• A new upper bound for the cross number of finite Abelian groups.
• Contributions to zero-sum problems
• Zero-sum problems in finite Abelian groups: a survey
• Structural additive theory. Based on courses given at Karl-Franzens-Universität Graz, Austria, 2008--2012
• A variant of Davenport's constant
• Inverse zero-sum problems and algebraic invariants

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