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On zero-sum subsequences of restricted size II
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“Throrem B. (Gao, [6, 7]) If G is a finite abelian group, then s ℓ ( G ) = D ( G ) + ℓ -1 holds for all positive integer ℓ providing that ℓ ≥ | G | and exp( G ) | ℓ .”
From Erdős-Ginzburg-Ziv theorem for finite commutative semigroups (2014) · cites this paper as [7]
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Research works printed but not linked: 24
- Alford, 1994, There are infinitely many Carmichael numbers, Ann. Math., 140, 703, 10.2307/2118576 · DOI · Paper page
- N. Alon, M. Dubiner, Zero-sum sets of prescribed size, in: Combinatorics, Paul Erdős is Eighty, Vol. 1, J. Bolyai Math. Soc. (1993) 33–50.
- Alon, 1995, A lattice point problem and additive number theory, Combinatorica, 15, 301, 10.1007/BF01299737 · DOI
- Alon, 1984, Regular subgraphs of almost regular graphs, J. Combin. Theory, 37B, 79, 10.1016/0095-8956(84)90047-9 · DOI
- Bialostocki, 1992, On the Erdős-Ginzburg-Ziv theorem and the Ramsey numbers for stars and matchings, Discrete Math., 110, 1, 10.1016/0012-365X(92)90695-C · DOI
- Caro, 1995, Zero-sum subsequences in abelian non-cyclic groups, Israel J. Math., 92, 221, 10.1007/BF02762078 · DOI
- Caro, 1996, Zero-sum problems a survey, Discrete Math., 152, 93, 10.1016/0012-365X(94)00308-6 · DOI
- Erdős, 1961, A theorem in additive number theory, Bull Res. Council Israel, 10F, 41
- W.D. Gao, Some problems in additive number theory and additive group theory, Ph. D. Thesis, Sichuan University, 1994.
- Gao, 1996, On zero-sum subsequences with restricted size, J. Number Theory, 61, 97, 10.1006/jnth.1996.0140 · DOI
- Gao, 1996, Two addition theorems on groups of prime order, J. Number Theory, 56, 211, 10.1006/jnth.1996.0013 · DOI
- Gao, 1996, A combinatorial problem on finite abelian groups, J. Number Theory, 58, 100, 10.1006/jnth.1996.0067 · DOI · Paper page
- Gao, 1997, On a combinatorial problem connected with factorizations, Colloq. Math., 72, 251, 10.4064/cm-72-2-251-268 · doi:10.4064/cm-72-2-251-268
- Gao, 1997, Addition theorems and group rings, J. Combin. Theory, 77A, 98, 10.1006/jcta.1996.2731 · DOI
- Gao, 2000, On Davenport's constant of finite abelian group with rank three, Discrete Math., 222, 111, 10.1016/S0012-365X(00)00010-8 · DOI
- Gao, 2001, On zero-sum subsequence of restricted size III, Ars Combin., 61, 65
- Gao, 1999, On long minimal zero sequences in finite abelian groups, Period. Math. Hungar., 33, 179, 10.1023/A:1004854508165 · DOI
- Gao, 1997, Note on a combinatorial constant, J. Math. Res. Exposition, 17, 139
- Geroldinger, 1992, On Davenport's constant, J. Combin. Theory, 61A, 147, 10.1016/0097-3165(92)90061-X · DOI · Paper page
- Harborth, 1973, Ein Extremalproblem für Gitterpunkte, J. Reine Angew. Math., 262/263, 356
- Kemnitz, 1983, On a lattice point problem, Ars Combin., 16b, 151
- Olson, 1969, A combinatorial problem on finite abelian groups I, J. Number Theory, 1, 8, 10.1016/0022-314X(69)90021-3 · DOI
- Olson, 1969, A combinatorial problem on finite abelian groups II, J. Number Theory, 1, 195, 10.1016/0022-314X(69)90037-7 · DOI
- Sury, 1999, The Chevalley–Warning theorem and a combinatorial question on finite groups, Proc. Amer. Math. Soc., 127, 951, 10.1090/S0002-9939-99-04704-8 · DOI
Cited by
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
Self-citationErdős-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
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Metadata
- Authors
- Gao, W. D.
- Venue
- Discrete Mathematics
- Publisher
- Elsevier BV
- Published
- 2003-09
- Volume
- 271
- Issue
- 1-3
- Pages
- 51-59
- ISSN
- 0012-365X
- Cited by
- 31
- References
- 0
- Language
- en
- Licence
- www.elsevier.com/tdm/userlicense/1.0/ (tdm)
- www.elsevier.com/open-access/userlicense/1.0/ (vor, 3643 d)
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- Gao, W. D. (2003). On zero-sum subsequences of restricted size II. Discrete Mathematics. https://doi.org/10.1016/s0012-365x(03)00038-4
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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.