On weighted zero-sum sequences

DOI10.1016/j.aam.2011.11.007zbMath1329.11019arXiv1003.2186OpenAlexW2120221936MaRDI QIDQ413569

David J. Grynkiewicz, Sukumar Das Adhikari, Zhi-Wei Sun

Publication date: 7 May 2012

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.2186

zbMATH Keywords

abelian grouppolynomial methodL-intersecting set systemWeighted zero-sum

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Extremal set theory (05D05) Other combinatorial number theory (11B75) Finite abelian groups (20K01)

Related Items (19)

Warning's second theorem with relaxed outputs ⋮ Some exact values of the Harborth constant and its plus-minus weighted analogue ⋮ 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 ⋮ The polynomial method in the study of zero-sum theorems ⋮ On monoids of weighted zero-sum sequences and applications to norm monoids in Galois number fields and binary quadratic forms ⋮ Zero-sum problems with congruence conditions ⋮ Weighted zero-sum constants for \(p\)-groups ⋮ On monoids of plus-minus weighted zero-sum sequences: the isomorphism problem and the characterization problem ⋮ Warning's second theorem with restricted variables ⋮ Unnamed Item ⋮ Arithmetical interpretation of weighted Davenport constants. ⋮ Weighted Zero-Sums for Some Finite Abelian Groups of Higher Ranks ⋮ Unnamed Item ⋮ The $\{1,s\}$-weighted Davenport constant in $C_n^k$ ⋮ Modification of Griffiths' result for even integers ⋮ Weighted EGZ-constant for p-groups of rank 2 ⋮ Inverse results for weighted Harborth constants ⋮ On some weighted zero-sum constants II ⋮ Remarks on the plus–minus weighted Davenport constant

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Zero-sum problems with subgroup weights
• A weighted generalization of two theorems of Gao
• Contributions to zero-sum problems
• Zero-sum problems for abelian \(p\)-groups and covers of the integers by residue classes
• A weighted Erdős-Ginzburg-Ziv theorem
• Zero-sum problems in finite Abelian groups: a survey
• On sums of binomial coefficients and their applications
• Some zero-sum constants with weights
• Davenport constant with weights
• Intersection theorems with geometric consequences
• Multilinear polynomials and Frankl-Ray-Chaudhuri-Wilson type intersection theorems
• On t-designs
• On Kemnitz' conjecture concerning lattice-points in the plane
• A variant of Davenport's constant
• Davenport constant with weights and some related questions. II.
• A combinatorial problem on finite Abelian groups. II
• A combinatorial problem on finite Abelian groups. I
• Combinatorial Nullstellensatz
• Set systems with restricted intersections modulo prime powers

This page was built for publication: On weighted zero-sum sequences