On the Olson and the strong Davenport constants
From MaRDI portal
Publication:449721
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
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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The catenary degree of Krull monoids. I
- On the Davenport constant and on the structure of extremal zero-sum free sequences
- Olson's constant for the group \(\mathbb Z_p\oplus\mathbb Z_p\)
- The critical number of finite abelian groups
- Zero-sum problems in finite Abelian groups: a survey
- Classification theorems for sumsets modulo a prime
- Minimal zero-sequences and the strong Davenport constant
- An addition theorem and maximal zero-sum free sets in \(\mathbb{Z}/p\mathbb{Z}\)
- Existence conditions for barycentric sequences.
- On the index of minimal zero-sum sequences over finite cyclic groups
- Long zero-free sequences in finite cyclic groups.
- Large Zero-Free Subsets of ℤ/pℤ
- Inverse zero-sum problems II
- Sums of sets of group elements
- On zero-free subset sums
- Inverse zero-sum problems III
- An improvement on Olson's constant for Zp⨁Zp
- Subset sums modulo a prime
- On the addition of residue classes mod p
- An addition theorem modulo p
- On a conjecture of Erdös and Heilbronn
- Unsolved problems in number theory
- On long minimal zero sequences in finite abelian groups
This page was built for publication: On the Olson and the strong Davenport constants
