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Davenport Constant with Weights and Some Related Questions
Abstract
see the abstract in the attached pdf
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“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 [3]
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 [3]
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Citations
Cited by
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
Self-citationDavenport constant with weights
Yuan, P., & Zeng, X. (2010) · European Journal of Combinatorics · doi:10.1016/j.ejc.2009.09.005 · Cited by 24
Erdős-Ginzburg-Ziv theorem for finite commutative semigroups
Das Adhikari, S., Gao, W., & Wang, G. (2014) · Semigroup Forum · doi:10.1007/s00233-013-9544-1 · Cited by 7
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
- Adhikari, S. D., & Rath, P.
- Affiliations
- Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211 019, INDIA
- Venue
- Zenodo
- Publisher
- Zenodo
- Published
- 2006-10-20
- References
- 0
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- CoChat. (2026). Citation check: Davenport Constant with Weights and Some Related Questions. https://app.cochat.ai/papers/10.5281/zenodo.8275438
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- Adhikari, S. D., & Rath, P. (2006). Davenport Constant with Weights and Some Related Questions. Zenodo. https://doi.org/10.5281/zenodo.8275438
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.
