Result: An asymptotically tight bound for the Davenport constant
Title:
An asymptotically tight bound for the Davenport constant
Authors:
Contributors:
Girard, Benjamin
Source:
Journal de l’École polytechnique — Mathématiques. 5:605-611
Publication Status:
Preprint
Publisher Information:
Cellule MathDoc/Centre Mersenne, 2018.
Publication Year:
2018
Subject Terms:
finite abelian groups, Additive combinatorics, Finite abelian groups, constante de Davenport, Mathematics - Number Theory, Davenport constant, Group Theory (math.GR), 01 natural sciences, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], Arithmetic combinatorics, higher degree uniformity, zero-sum sequences, Combinatoire additive, Other combinatorial number theory, FOS: Mathematics, additive combinatorics, Mathematics - Combinatorics, suites de somme nulle, Number Theory (math.NT), Combinatorics (math.CO), finite Abelian groups, 0101 mathematics, groupes abéliens finis, Mathematics - Group Theory, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT], [MATH.MATH-GR] Mathematics [math]/Group Theory [math.GR]
Document Type:
Academic journal
Article<br />Other literature type
File Description:
application/xml; application/pdf
Language:
English
ISSN:
2270-518X
DOI:
10.5802/jep.79
DOI:
10.48550/arxiv.1709.08033
Access URL:
https://jep.centre-mersenne.org/article/JEP_2018__5__605_0.pdf
http://arxiv.org/abs/1709.08033
https://zbmath.org/6988589
https://doi.org/10.5802/jep.79
https://arxiv.org/abs/1709.08033
https://arxiv.org/pdf/1709.08033v3
http://ui.adsabs.harvard.edu/abs/2017arXiv170908033G/abstract
https://jep.centre-mersenne.org/item/JEP_2018__5__605_0/
https://hal.science/hal-01592317v3
https://hal.science/hal-01592317v3/document
http://arxiv.org/abs/1709.08033
https://zbmath.org/6988589
https://doi.org/10.5802/jep.79
https://arxiv.org/abs/1709.08033
https://arxiv.org/pdf/1709.08033v3
http://ui.adsabs.harvard.edu/abs/2017arXiv170908033G/abstract
https://jep.centre-mersenne.org/item/JEP_2018__5__605_0/
https://hal.science/hal-01592317v3
https://hal.science/hal-01592317v3/document
Rights:
CC BY ND
arXiv Non-Exclusive Distribution
arXiv Non-Exclusive Distribution
Accession Number:
edsair.doi.dedup.....2b1ba6a828ce38cd3b5e409d7db4c0fa
Database:
OpenAIRE
Further Information
We prove that for every integer r≥1 the Davenport constant D(C n r ) is asymptotic to rn when n tends to infinity. An extension of this theorem is also provided.