The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Some zero-sum constants with weights
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“It turns out, that for p prime, one can show that this maximum is at most ⌈ p/k ⌉ as follows (this result also appears in [1], with a different proof):”
From The Weighted Davenport Constant of a Group and a Related Extremal Problem (2019) · cites this paper as [1]
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Serre, J.-P. (1973) · Graduate Texts in Mathematics · doi:10.1007/978-1-4684-9884-4 · Cited by 1,715 · cited 1×
“Chevalley’s Theorem (see [ 14 ], for instance), there is another solution.”
BackgroundDavenport constant with weights and some related questions, II
Adhikari, S. D., & Chen, Y.-G. (2008) · Journal of Combinatorial Theory, Series A · doi:10.1016/j.jcta.2007.03.004 · Cited by 35
Self-citation
Research works printed but not linked: 12
- Adhikari S D, Chen Y G, Friedlander J B, Konyagin S V and Pappalardi F, Contributions to zero-sum problems, Discrete Math. 306 (2006) 1–10 · DOI · Paper page
- Alon N and Dubiner M, A lattice point problem and additive number theory, Combinatorica 15 (1995) 301–309 · DOI
- Cauchy A L, Recherches sur les nombres, J. Ecôle Polytech. 9 (1813) 99–123
- Davenport H, On the addition of residue classes, J. London Math. Soc. 22 (1947) 100–101 · DOI
- Elsholtz Christian, Lower bounds for multidimensional zero sums, Combinatorica 24(3) (2004) 351–358 · DOI
- Florian Luca, A generalization of a classical zero-sum problem, Discrete Math. 307(13) (2007) 1672–1678 · DOI
- Harborth H, Ein Extremalproblem für Gitterpunkte, J. Reine Angew. Math. 262/263 (1973) 356–360
- Kemnitz A, On a lattice point problem, Ars Combin. 16b (1983) 151–160
- Nathanson Melvyn B, Additive Number Theory: Inverse Problems and the Geometry of Sumsets (Springer) (1996) · doi:10.1007/978-1-4757-3845-2
- Reiher Christian, On Kemnitz’s conjecture concerning lattice points in the plane, Ramanujan J. 13(1–3) (2007) 333–337 · DOI
- Rónyai L, On a conjecture of Kemnitz, Combinatorica 20(4) (2000) 569–573 · doi:10.1007/s004930070008
- Thangadurai R, A variant of Davenport’s constant, Proc. Indian Acad. Sci. (Math. Sci.) 117(2) (2007) 147–158 · DOI
Cited by
The Weighted Davenport Constant of a Group and a Related Extremal Problem
Balachandran, N., & Mazumdar, E. (2019) · The Electronic Journal of Combinatorics · doi:10.37236/7996 · Cited by 2
The Plus-Minus Davenport Constant of Finite Abelian Groups
Perez-Lavin, D. (2021) · University of Kentucky Libraries · doi:10.13023/etd.2021.059
Metadata
- Authors
- Adhikari, S. D., Balasubramanian, R., Pappalardi, F., & Rath, P.
- Venue
- Proceedings Mathematical Sciences
- Published
- 2008-05
- Volume
- 118
- Issue
- 2
- Pages
- 183-188
- ISSN
- 0253-4142
- 0973-7685
- Cited by
- 14
- References
- 2
- Language
- en
- Licence
- www.springer.com/tdm (tdm)
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- CoChat. (2026). Citation check: Some zero-sum constants with weights. https://app.cochat.ai/papers/10.1007/s12044-008-0010-z
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- Adhikari, S. D., Balasubramanian, R., Pappalardi, F., & Rath, P. (2008). Some zero-sum constants with weights. Proceedings Mathematical Sciences. https://doi.org/10.1007/s12044-008-0010-z
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
