Arithmetical interpretation of weighted Davenport constants.

DOI10.1007/s00013-014-0677-6zbMath1307.20020OpenAlexW2044998209MaRDI QIDQ461385

Franz Halter-Koch

Publication date: 10 October 2014

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-014-0677-6

zbMATH Keywords

binary quadratic formsalgebraic integersDavenport constantzero-sum sequences

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Other combinatorial number theory (11B75) Finite abelian groups (20K01) Quadratic forms over global rings and fields (11E12) Class numbers, class groups, discriminants (11R29)

Related Items (12)

The Weighted Davenport Constant of a group and a related extremal problem ⋮ Warning's second theorem with relaxed outputs ⋮ 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 weighted zero-sum sequences and applications to norm monoids in Galois number fields and binary quadratic forms ⋮ Weighted zero-sum constants for \(p\)-groups ⋮ On monoids of plus-minus weighted zero-sum sequences: the isomorphism problem and the characterization problem ⋮ Unnamed Item ⋮ Weighted Zero-Sums for Some Finite Abelian Groups of Higher Ranks ⋮ Unnamed Item ⋮ Multi-wise and constrained fully weighted Davenport constants and interactions with coding theory ⋮ The $\{1,s\}$-weighted Davenport constant in $C_n^k$ ⋮ Unnamed Item

Cites Work

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• On weighted zero-sum sequences
• Zero-sum problems in finite Abelian groups: a survey
• Davenport constant with weights
• Structural additive theory. Based on courses given at Karl-Franzens-Universität Graz, Austria, 2008--2012
• Arithmetic-progression-weighted subsequence sums
• Weighted Davenport's constant and the weighted EGZ theorem
• Davenport constant with weights and some related questions. II.
• Some exact values of the Harborth constant and its plus-minus weighted analogue
• Remarks on the plus–minus weighted Davenport constant

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