The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Generalizations of some zero sum theorems
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“Lemma 7. Let n = p r where p is a prime which is at least seven. Suppose S is a sequence in Z n such that at least three terms of S are in U ( n ) . Then S is a U ( n ) 2 -weighted zero-sum sequence.”
From On a different weighted zero-sum constant (2023) · cites this paper as [5]
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Citations
Cites
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: 13
- 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, Generalizations of some zero-sum theorems, Integers 8 (2008) Article A52
- Adhikari S D and Rath P, Davenport constant with weights and some related questions, Integers 6 (2006) Article A30
- Chowla I, A theorem on the addition of residue classes: Application to the number F(k) in Waring’s problem, Proc. Indian Acad. Sci. (Math. Sci.) 2 (1935) 242–243 · doi:10.1007/bf03035809
- Erdős P, Ginzburg A and Ziv A, Theorem in the additive number theory, Bull. Research Council Israel 10F (1961) 41–43
- Gao W D, A combinatorial problem on finite abelian groups, J. Number Theory 58 (1996) 100–103 · DOI · Paper page
- Geroldinger A and Halter-Koch F, Non-unique factorizations, Algebraic, combinatorial and analytic theory, Pure and Applied Mathematics (Boca Raton), (Boca Raton, FL: Chapman & Hall/CRC) (2006) vol. 278 · DOI · Paper page
- Grynkiewicz D J, Marchan L E and Ordaz O, A weighted generalization of two theorems of Gao, Preprint
- Ireland K and Rosen M, A classical introduction to modern number theory, GTM (New York-Berlin: Springer-Verlag) (1982) vol. 84 · DOI · Paper page
- Kneser M, Abschätzung der asymptotischen Dichte von Summenmengen, Math. Z. 58 (1953) 459–484 · doi:10.1007/bf01174162
- Kneser M, Summenmengen in lokalkompakten abelschen Gruppen (German), Math. Z. 66 (1956) 88–110 · doi:10.1007/bf01186598
- Kneser M, Ein Satz überabelsche Gruppen mit Anwendungen auf die Geometrie der Zahlen (German), Math. Z. 61 (1955) 429–434 · doi:10.1007/bf01181357
- Nathanson Melvyn B, Additive number theory: Inverse problems and the geometry of sumsets, GTM (New York: Springer) (1996) vol. 165 · doi:10.1007/978-1-4757-3845-2
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
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
Metadata
- Authors
- CHINTAMANI, M. N., & MORIYA, B. K.
- Venue
- Proceedings - Mathematical Sciences
- Published
- 2012-02
- Volume
- 122
- Issue
- 1
- Pages
- 15-21
- ISSN
- 0253-4142
- 0973-7685
- Cited by
- 6
- References
- 2
- Language
- en
- Licence
- www.springer.com/tdm (tdm)
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- CoChat. (2026). Citation check: Generalizations of some zero sum theorems. https://app.cochat.ai/papers/10.1007/s12044-012-0058-7
- The paper
- CHINTAMANI, M. N., & MORIYA, B. K. (2012). Generalizations of some zero sum theorems. Proceedings - Mathematical Sciences. https://doi.org/10.1007/s12044-012-0058-7
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.
