The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Davenport constant with weights and some related questions, II
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Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“This solve the problem raised by Adhikari and Rath [3], Adhikari and Chen [2], Thangadurai [12] and Griffiths [10].”
From Davenport constant with weights (2010) · cites this paper as [2]
In the citing paper
“In the cases A = { 1 } , {-1 , 1 } , Z ⋆ n or A = ( a 1 , · · · , a r ) with gcd( a 2 -a 1 , · · · , a r -a 1 , n ) = 1 or n = p is a prime, it is proved that E A ( n ) = D A ( n )+ n -1.”
From Davenport constant with weights (2010) · cites this paper as [2]
Citations
Cites
Serre, J.-P. (1973) · Graduate Texts in Mathematics · doi:10.1007/978-1-4684-9884-4 · Cited by 1,715 · cited 1×
“By Chevalley - Warning Theorem (see [ 12 ] or [1], for instance), there is a nontrivial solution (y1,··· ,yp+2) of the above system.”
BackgroundAdditive number theory: inverse problems and the geometry of sumsets
(1997) · Choice Reviews Online · doi:10.5860/choice.35-0343a · Cited by 414
Non-Unique Factorizations: Algebraic, Combinatorial and Analytic Theory
Geroldinger, A., & Halter-Koch, F. (2006) · doi:10.1201/9781420003208 · Cited by 366
On the Addition of Residue Classes
Davenport, H. (1935) · Journal of the London Mathematical Society · doi:10.1112/jlms/s1-10.37.30 · Cited by 280
Zero-sum problems in finite abelian groups: A survey
Gao, W., & Geroldinger, A. (2006) · Expositiones Mathematicae · doi:10.1016/j.exmath.2006.07.002 · Cited by 262
A theorem in additive number theory
Crocker, R. (1969) · Colloquium Mathematicum · doi:10.4064/cm-20-1-53-56 · Cited by 169
Cauchy, A.-L. (2009) · Cambridge University Press eBooks · doi:10.1017/cbo9780511702501.004 · Cited by 153
Caro, Y. (1996) · Discrete Mathematics · doi:10.1016/0012-365x(94)00308-6 · Cited by 146
A Combinatorial Problem on Finite Abelian Groups
Gao, W. D. (1996) · Journal of Number Theory · doi:10.1006/jnth.1996.0067 · Cited by 74
Contributions to zero-sum problems
Adhikari, S. D., Chen, Y. G., Friedlander, J. B., Konyagin, S. V., & Pappalardi, F. (2006) · Discrete Mathematics · doi:10.1016/j.disc.2005.11.002 · Cited by 47
Self-citation
Research works printed but not linked: 1
- Adhikari, 2006, Zero-sum problems in Combinatorial Number Theory, vol. 2
Cited by
On weighted zero-sum sequences
Adhikari, S. D., Grynkiewicz, D. J., & Sun, Z. (2011) · Advances in Applied Mathematics · doi:10.1016/j.aam.2011.11.007 · Cited by 27
Self-citationThe Erdős–Ginzberg–Ziv theorem with units
Griffiths, S. (2008) · Discrete Mathematics · doi:10.1016/j.disc.2007.09.060 · Cited by 20
A weighted generalization of two theorems of Gao
Grynkiewicz, D. J., Marchan, L. E., & Ordaz, Ó. (2012) · The Ramanujan Journal · doi:10.1007/s11139-011-9350-x · Cited by 25
Davenport constant with weights
Yuan, P., & Zeng, X. (2010) · European Journal of Combinatorics · doi:10.1016/j.ejc.2009.09.005 · Cited by 24
Some zero-sum constants with weights
Adhikari, S. D., Balasubramanian, R., Pappalardi, F., & Rath, P. (2008) · Proceedings Mathematical Sciences · doi:10.1007/s12044-008-0010-z · Cited by 14
Self-citation
Metadata
- Authors
- Adhikari, S. D., & Chen, Y.-G.
- Affiliations
- Harish-Chandra Research Institute (IN)
- Nanjing Normal University (CN)
- Corresponding author
- Adhikari, Sukumar Das
- Chen, Yong-Gao
- ORCID
- Chen, Yong-Gao
- Venue
- Journal of Combinatorial Theory, Series A
- Publisher
- Elsevier BV
- Published
- 2008-01
- Volume
- 115
- Issue
- 1
- Pages
- 178-184
- ISSN
- 0097-3165 (ISSN-L)
- OpenAlex
- W1988568430
- Semantic Scholar
- 43a9c26da40c81d778ff92ee7b116f9868b2ef7e
- Cited by
- 35
- References
- 14
- Citations by year
- 2026: 2 · 2024: 1 · 2023: 2 · 2022: 2 · 2021: 5 · 2020: 1 · 2019: 2 · 2017: 1 · 2015: 1 · 2014: 1 · 2013: 3 · 2012: 3
- FWCI
- 2.84
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- www.elsevier.com/tdm/userlicense/1.0/ (tdm)
- www.elsevier.com/open-access/userlicense/1.0/ (vor, 2024 d)
- Locations
- Journal of Combinatorial Theory Series A (publishedVersion)
- Funders
- Harish-Chandra Research Institute
- National Natural Science Foundation of China
- Topics
- Physical Sciences › Mathematics › Discrete Mathematics and Combinatorics › Advanced Combinatorial Mathematics
- Physical Sciences › Mathematics › Discrete Mathematics and Combinatorics › Finite Group Theory Research
- Physical Sciences › Mathematics › Algebra and Number Theory › Analytic Number Theory Research
- Keywords
- finite abelian groups, Erdős-Ginzburg-Ziv theorem, zero-sum problems, subsequence sums, additive number theory
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Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Davenport constant with weights and some related questions, II. https://app.cochat.ai/papers/10.1016/j.jcta.2007.03.004
- The paper
- Adhikari, S. D., & Chen, Y.-G. (2008). Davenport constant with weights and some related questions, II. Journal of Combinatorial Theory, Series A. https://doi.org/10.1016/j.jcta.2007.03.004
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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.
