On the Olson and the strong Davenport constants

DOI10.5802/jtnb.784zbMath1252.11011arXiv1008.0763OpenAlexW2963625259MaRDI QIDQ449721

Irene Santos, Andreas Philipp, Oscar Ordaz, Wolfgang Alexander Schmid

Publication date: 31 August 2012

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.0763

zbMATH Keywords

Davenport's constantOlson's constantzero sum free setszero sums

Mathematics Subject Classification ID

Sequences (mod (m)) (11B50) Inverse problems of additive number theory, including sumsets (11P70) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (14)

Representing Sequence Subsums as Sumsets of Near Equal Sized Sets ⋮ A multiplicative property for zero-sums. I ⋮ Some exact values of the Harborth constant and its plus-minus weighted analogue ⋮ A multiplicative property for zero-sums. II ⋮ Iterated sumsets and subsequence sums ⋮ Structure of a sequence with prescribed zero-sum subsequences: rank two \(p\)-groups ⋮ Unnamed Item ⋮ Arithmetic-progression-weighted subsequence sums ⋮ The catenary degree of Krull monoids. I ⋮ On the Davenport constant and on the structure of extremal zero-sum free sequences ⋮ Inverse problems for certain subsequence sums in integers ⋮ Sums of sets of abelian group elements ⋮ Iterated sumsets and setpartitions ⋮ A characterization of arithmetical invariants by the monoid of relations. II: The monotone catenary degree and applications to semigroup rings.

Cites Work

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