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Generalization of some weighted zero-sum theorems
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“Lemma 8. Let n = p r where p is a prime such that p ≥ 13 and p ≡ 1 ( mod 3) . Let S be a sequence in Z n such that at least four terms of S are units. Then S is a U ( n ) 3 -weighted zero-sum sequence.”
From On a different weighted zero-sum constant (2023) · cites this paper as [9]
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Cites
A Classical Introduction to Modern Number Theory
Ireland, K., & Rosen, M. (1990) · Graduate texts in mathematics · doi:10.1007/978-1-4757-2103-4 · Cited by 1,311
Davenport 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
Davenport constant with weights
Yuan, P., & Zeng, X. (2010) · European Journal of Combinatorics · doi:10.1016/j.ejc.2009.09.005 · Cited by 24
Research works printed but not linked: 12
- Adhikari S D, Balasubramanian R, Pappalardi F and Rath P, Some zero-sum constants with weights, Proc. Indian Acad. Sci. (Math. Sci.) 118(2) (2008) 183–188 · DOI · Paper page
- Adhikari S D, Chen Y G, Friedlander J B, Konyagin S V and Pappalardi F, Contributions to zero-sum problems, Discrete Math. 306(1) (2006) 1–10 · DOI · Paper page
- Adhikari S D, David C and Urroz J J, Generalizations of some zero-sum theorems, Integers 8, (2008) A52
- Adhikari S D and Rath P, Davenport constant with weights and some related questions, Integers 6 (2006) A30
- Chintamani M N and Moriya B K, Generalizations of some zero sum theorems, Proc. Indian Acad. Sci. (Math. Sci.) 122(1) (2012) 15–21 · DOI · Paper page
- Erdős P, Ginzburg A and Ziv A, Theorem in additive number theory, Bull. Res. Council Israel Sect. F 10F(1) (1961) 41–43
- Gao W D, A combinatorial problem on finite abelian groups, J. Number Theory 58(1) (1996) 100–103 · DOI · Paper page
- Griffiths S, The Erdős–Ginzburg–Ziv theorem with units, Discrete Math. 308(23) (2008) 5473–5484 · DOI · Paper page
- Grynkiewicz D J, Marchan L E and Ordaz O, A weighted generalization of two theorems of Gao, Ramanujan J. 28(3) (2012) 323–340 · DOI
- Luca F, A generalization of a classical zero-sum problem, Discrete Math. 307(13) (2007) 1672–1678 · DOI
- Nathanson M B, Additive Number Theory: Inverse Problems and the Geometry of Sumsets (1996) (Berlin: Springer) · doi:10.1007/978-1-4757-3845-2
- Thangadurai R, A variant of Davenport’s constant, Proc. Indian Acad. Sci. (Math. Sci.) 117(2) (2007) 147–158 · DOI
Cited by
On a different weighted zero-sum constant
Mondal, S., Paul, K., & Paul, S. (2023) · Discrete Mathematics · doi:10.1016/j.disc.2023.113350 · Cited by 4
Metadata
- Authors
- Sarkar, S.
- ORCID
- Sarkar, Subha
- Venue
- Proceedings - Mathematical Sciences
- Published
- 2021-10
- Volume
- 131
- Issue
- 2
- ISSN
- 0253-4142
- 0973-7685
- Cited by
- 0
- References
- 3
- Language
- en
- Licence
- www.springer.com/tdm (tdm)
- www.springer.com/tdm (vor)
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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.
