The DOI matches its Crossref record; 150 of the 152 references it cites were found in a registry or an index.
Zero-sum problems in finite abelian groups: A survey
Open accessOverview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
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
“Theorem 1.1 If G is a finite abelian group of order n , then E ( G ) = D ( G )+ n -1 .”
From Davenport constant with weights (2010) · cites this paper as [7]
Citations
Cites
Alon, N. (1999) · Combinatorics Probability Computing · doi:10.1017/s0963548398003411 · Cited by 653
Lang, S. (1991) · Encyclopaedia of mathematical sciences · doi:10.1007/978-3-642-58227-1 · Cited by 513
Additive 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
Self-citationHooley, C. (1967) · Journal für die reine und angewandte Mathematik (Crelles Journal) · doi:10.1515/crll.1967.225.209 · Cited by 353
Foundations of a Structural Theory of Set Addition
Freiman, G. (2007) · Translations of Mathematical Monographs · doi:10.1090/mmono/037 · Cited by 347
There are Infinitely Many Carmichael Numbers
Alford, W. R., Granville, A., & Pomerance, C. (1994) · The Annals of Mathematics · doi:10.2307/2118576 · Cited by 333
A combinatorial problem on finite Abelian groups, I
Olson, J. E. (1969) · Journal of Number Theory · doi:10.1016/0022-314x(69)90021-3 · Cited by 290
Cyclic Spaces for Grassmann Derivatives and Additive Theory
da Silva, J. A. D., & Hamidoune, Y. O. (1994) · Bulletin of the London Mathematical Society · doi:10.1112/blms/26.2.140 · Cited by 174
Motwani, R., & Raghavan, P. (1995) · Cambridge University Press eBooks · doi:10.1017/cbo9780511814075.015 · Cited by 148
Research works printed but not linked: 19
- Bialostocki, 2000, Zero-sum ascending waves, J. Combin. Math. Combin. Comput., 32, 103
- Bialostocki, 1990, Zero sum Ramsey theorems, Congr. Numer., 70, 119
- A. Bialostocki, M. Lotspeich, Some developments of the Erdős–Ginzburg–Ziv theorem, in: Sets, Graphs and Numbers, vol. 60, Colloquia Mathematica Societatis Janos Bolyai, North-Holland, Amsterdam, New York, 1992, pp. 97–117.
- Chapman, 2002, On Davenport's constant of finite abelian groups, Far East J. Math. Sci., 2, 47
- Chiaselotti, 1993, Sums of distinct elements in finite abelian groups, Boll. Unione Mat. Ital., 7, 243
- Dimitrov, 2004, On the strong Davenport constant of nonabelian finite p-groups, Math. Balkica, 18, 131
- Erdős, 1961, Theorem in the additive number theory, Bull. Res. Council Israel, 10, 41
- M. Freeze, Lengths of factorizations in Dedekind domains, Ph.D. Thesis, University of North Carolina at Chapel Hill, 1999.
- Freeze, 2001, Sumsets of zerofree sequences, Arab J. Sci. Eng. Section C: Theme Issues, 26, 97
- Z. Füredi, D.J. Kleitman, The minimal number of zero sums. in: Combinatorics, Paul Erdős is Eighty, J. Bolyai Mathematical Society, 1993, pp. 159–172.
- Gallardo, 2000, On Brakemeier's variant of the Erdős–Ginzburg–Ziv problem, Tatra Mt. Math. Publ., 20, 91
- W. Gao, Some problems in additive group theory and number theory, Ph.D. Thesis, Sichuan University, Sichuan, PR China, 1994.
- Gao, 1996, An improvement of Erdős–Ginzburg–Ziv theorem, Acta Math. Sin., 39, 514
- Kemnitz, 1983, On a lattice point problem, Ars. Combin., 16-B, 151
- Krause, 1991, Arithmetic in Krull monoids and the cross number of divisor class groups, Mitt. Math. Ges. Hamb., 12, 681
- E. Lipkin, Subset sums of sets of residues. in: Structure Theory of Set Addition, vol. 258, Astérisque, 1999, pp. 187–192.
- Ordaz, 2006, On zero-free sets, Divulg. Mat., 14, 1
- Schmid, 2005, Half-factorial sets in finite abelian groups: a survey, Grazer Math. Ber., 348, 41
- Skałba, 1992, The relative Davenport's constant of the group Zn×Zn, Grazer Math. Ber., 318, 167
Cited by
Local tameness of v -noetherian monoids
Geroldinger, A., & Hassler, W. (2008) · Journal of Pure and Applied Algebra · doi:10.1016/j.jpaa.2007.10.020 · Cited by 61
Self-citationGao, W., & Geroldinger, A. (2008) · Monatshefte für Mathematik · doi:10.1007/s00605-008-0547-z · Cited by 59
Self-citationThe Interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics
Cziszter, K., Domokos, M., & Geroldinger, A. (2016) · Springer proceedings in mathematics & statistics · doi:10.1007/978-3-319-38855-7_3 · Cited by 50
Self-citationBlanco, V., García-Sánchez, P. A., & Geroldinger, A. (2011) · Illinois Journal of Mathematics · doi:10.1215/ijm/1373636689 · Cited by 48
Self-citationGao, W., Geroldinger, A., & Schmid, W. A. (2007) · Acta Arithmetica · doi:10.4064/aa128-3-5 · Cited by 47
Self-citationGao, W., Geroldinger, A., & Grynkiewicz, D. J. (2010) · Acta Arithmetica · doi:10.4064/aa141-2-1 · Cited by 47
Self-citationThe large Davenport constant I: Groups with a cyclic, index 2 subgroup
Geroldinger, A., & Grynkiewicz, D. J. (2012) · Journal of Pure and Applied Algebra · doi:10.1016/j.jpaa.2012.09.004 · Cited by 45
Self-citationMonoids of modules and arithmetic of direct-sum decompositions
Baeth, N. R., & Geroldinger, A. (2014) · Pacific Journal of Mathematics · doi:10.2140/pjm.2014.271.257 · Cited by 44
Self-citationOn the arithmetic of tame monoids with applications to Krull monoids and Mori domains
Geroldinger, A., & Kainrath, F. (2010) · Journal of Pure and Applied Algebra · doi:10.1016/j.jpaa.2010.02.023 · Cited by 44
Self-citationA realization theorem for sets of lengths
Schmid, W. A. (2009) · Journal of Number Theory · doi:10.1016/j.jnt.2008.10.019 · Cited by 38
Schmid, W. A. (2011) · The Electronic Journal of Combinatorics · doi:10.37236/520 · Cited by 36
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
Schmid, W. A. (2010) · Acta Arithmetica · doi:10.4064/aa143-4-2 · Cited by 35
Arithmetic of Mori domains and monoids
Geroldinger, A., & Hassler, W. (2008) · Journal of Algebra · doi:10.1016/j.jalgebra.2007.11.025 · Cited by 33
Self-citationRemarks on a generalization of the Davenport constant
Freeze, M., & Schmid, W. A. (2010) · Discrete Mathematics · doi:10.1016/j.disc.2010.07.028 · Cited by 32
The catenary degree of Krull monoids I
Geroldinger, A., Grynkiewicz, D. J., & Schmid, W. A. (2011) · Journal de Théorie des Nombres de Bordeaux · doi:10.5802/jtnb.754 · Cited by 32
Self-citationThe Noether number for the groups with a cyclic subgroup of index two
Cziszter, K., & Domokos, M. (2013) · Journal of Algebra · doi:10.1016/j.jalgebra.2013.09.044 · Cited by 31
On the arithmetic of Krull monoids with infinite cyclic class group
Geroldinger, A., Grynkiewicz, D. J., Schaeffer, G. J., & Schmid, W. A. (2010) · Journal of Pure and Applied Algebra · doi:10.1016/j.jpaa.2010.02.024 · Cited by 30
Self-citationOn the Erdős–Ginzburg–Ziv constant of finite abelian groups of high rank
Fan, Y., Gao, W., & Zhong, Q. (2011) · Journal of Number Theory · doi:10.1016/j.jnt.2011.02.017 · Cited by 30
Self-citationAdditive Combinatorics: A Menu of Research Problems
Bajnok, B. (2018) · Chapman & Hall/CRC eBooks · doi:10.1201/9781351137621 · Cited by 29
Direct zero-sum problems for certain groups of rank three
Girard, B., & Schmid, W. A. (2018) · Journal of Number Theory · doi:10.1016/j.jnt.2018.08.016 · Cited by 28
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
Degree bound for separating invariants of abelian groups
Domokos, M. (2016) · Proceedings of the American Mathematical Society · doi:10.1090/proc/13534 · Cited by 26
The set of distances in Krull monoids
Geroldinger, A., & Yuan, P. (2012) · Bulletin of the London Mathematical Society · doi:10.1112/blms/bds046 · Cited by 26
Self-citationErdős–Ginzburg–Ziv theorem and Noether number for C⋉C
Han, D., & Zhang, H. (2018) · Journal of Number Theory · doi:10.1016/j.jnt.2018.10.007 · Cited by 26
Exponential bounds for the Erdős-Ginzburg-Ziv constant
Naslund, E. (2020) · Journal of Combinatorial Theory Series A · doi:10.1016/j.jcta.2019.105185 · Cited by 25
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
Zero-sum problems with congruence conditions
Geroldinger, A., Grynkiewicz, D. J., & Schmid, W. A. (2011) · Acta Mathematica Academiae Scientiarum Hungaricae · doi:10.1007/s10474-011-0073-7 · Cited by 24
Self-citationOn the Davenport constant and on the structure of extremal zero-sum free sequences
Geroldinger, A., Liebmann, M., & Philipp, A. (2012) · Periodica Mathematica Hungarica · doi:10.1007/s10998-012-3378-6 · Cited by 24
Self-citationOn the generalized Davenport constant and the Noether number
Cziszter, K., & Domokos, M. (2013) · Open Mathematics · doi:10.2478/s11533-013-0259-z · Cited by 23
Freeze, M., & Geroldinger, A. (2008) · Functiones et Approximatio Commentarii Mathematici · doi:10.7169/facm/1229696561 · Cited by 23
Self-citationNon-unique factorizations: a survey
Geroldinger, A., & Halter‐Koch, F. (2006) · Springer eBooks · doi:10.1007/978-0-387-36717-0_13 · Cited by 22
Self-citationAn application of coding theory to estimating Davenport constants
Plagne, A., & Schmid, W. A. (2010) · Designs Codes and Cryptography · doi:10.1007/s10623-010-9441-5 · Cited by 22
Extremal product-one free sequences in Dihedral and Dicyclic Groups
Martínez, F. E. B., & Ribas, S. (2017) · Discrete Mathematics · doi:10.1016/j.disc.2017.09.024 · Cited by 22
An asymptotically tight bound for the Davenport constant
Girard, B. (2018) · Journal de l’École polytechnique — Mathématiques · doi:10.5802/jep.79 · Cited by 22
Groups with large Noether bound
Cziszter, K., & Domokos, M. (2014) · Annales de l’institut Fourier · doi:10.5802/aif.2868 · Cited by 22
Representation of finite abelian group elements by subsequence sums
Grynkiewicz, D. J., Marchan, L. E., & Ordaz, Ó. (2010) · Journal de Théorie des Nombres de Bordeaux · doi:10.5802/jtnb.689 · Cited by 21
On the index of sequences over cyclic groups
Gao, W., Li, Y., Peng, J., Plyley, C., & Wang, G. (2011) · Acta Arithmetica · doi:10.4064/aa148-2-2 · Cited by 20
Self-citationOn Erdős-Ginzburg-ZIV inverse theorems for dihedral and dicyclic groups
Oh, J. S., & Zhong, Q. (2020) · Israel Journal of Mathematics · doi:10.1007/s11856-020-2036-6 · Cited by 20
Schmid, W. A. (2009) · Hindustan Book Agency · doi:10.1007/978-93-86279-46-0_14 · Cited by 20
A semigroup-theoretical view of direct-sum decompositions and associated combinatorial problems
Baeth, N. R., Geroldinger, A., Grynkiewicz, D. J., & Smertnig, D. (2014) · Journal of Algebra and Its Applications · doi:10.1142/s0219498815500164 · Cited by 19
Self-citationSchmid, W. A. (2009) · Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg · doi:10.1007/s12188-008-0010-z · Cited by 19
Arithmetical interpretation of weighted Davenport constants
Halter‐Koch, F. (2014) · Archiv der Mathematik · doi:10.1007/s00013-014-0677-6 · Cited by 19
Davenport constant for semigroups
Wang, G., & Gao, W. (2008) · Semigroup Forum · doi:10.1007/s00233-007-9019-3 · Cited by 13
Self-citationOn the lower bounds of Davenport constant
Liu, C. (2019) · Journal of Combinatorial Theory Series A · doi:10.1016/j.jcta.2019.105162 · Cited by 18
On the algebraic and arithmetic structure of the monoid of product-one sequences
Oh, J. S. (2020) · Journal of Commutative Algebra · doi:10.1216/jca.2020.12.409 · Cited by 17
On the existence of zero-sum subsequences of distinct lengths
Girard, B. (2012) · Rocky Mountain Journal of Mathematics · doi:10.1216/rmj-2012-42-2-583 · Cited by 17
On Subsequence Sums of a Zero-sum Free Sequence II
Gao, W., Li, Y., Peng, J., & Sun, F. (2008) · The Electronic Journal of Combinatorics · doi:10.37236/841 · Cited by 17
Self-citationOn short zero-sum subsequences over p-groups
Schmid, W., & Zhuang, J. (2010) · Ars Combinatoria · Cited by 17
The Erdős–Ginzburg–Ziv theorem for finite solvable groups
Gao, W., & Li, Y. (2009) · Journal of Pure and Applied Algebra · doi:10.1016/j.jpaa.2009.08.003 · Cited by 17
Self-citationSome exact values of the Harborth constant and its plus-minus weighted analogue
Marchan, L. E., Ordaz, Ó., Ramos, D., & Schmid, W. A. (2013) · Archiv der Mathematik · doi:10.1007/s00013-013-0590-4 · Cited by 17
Davenport constant for semigroups II
Wang, G. (2015) · Journal of Number Theory · doi:10.1016/j.jnt.2015.01.007 · Cited by 16
On the Olson and the Strong Davenport constants
Ordaz, Ó., Philipp, A., Santos, I., & Schmid, W. A. (2011) · Journal de Théorie des Nombres de Bordeaux · doi:10.5802/jtnb.784 · Cited by 16
Remarks on the plus–minus weighted Davenport constant
Marchan, L. E., Ordaz, Ó., & Schmid, W. A. (2014) · International Journal of Number Theory · doi:10.1142/s1793042114500225 · Cited by 16
On a conjecture of Zhuang and Gao
Qu, Y., & Li, Y. (2022) · Colloquium Mathematicum · doi:10.4064/cm8685-2-2022 · Cited by 16
On the invariant $\mathsf E(G)$ for groups of odd order
Gao, W., Li, Y., & Qu, Y. (2021) · Acta Arithmetica · doi:10.4064/aa210317-1-6 · Cited by 16
Self-citationOn zero-sum subsequences of length kexp(G)
Gao, W., Han, D., Peng, J., & Sun, F. (2014) · Journal of Combinatorial Theory Series A · doi:10.1016/j.jcta.2014.03.006 · Cited by 16
Self-citationTwo zero-sum invariants on finite abelian groups
Fan, Y., Gao, W., Wang, L.-L., & Zhong, Q. (2013) · European Journal of Combinatorics · doi:10.1016/j.ejc.2013.05.018 · Cited by 15
Self-citationProducts of two atoms in Krull monoids and arithmetical characterizations of class groups
Baginski, P., Geroldinger, A., Grynkiewicz, D. J., & Philipp, A. (2013) · European Journal of Combinatorics · doi:10.1016/j.ejc.2013.05.008 · Cited by 15
Self-citationOn the arithmetic of Krull monoids with finite Davenport constant
Geroldinger, A., & Grynkiewicz, D. J. (2008) · Journal of Algebra · doi:10.1016/j.jalgebra.2008.11.020 · Cited by 15
Self-citationAdditively irreducible sequences in commutative semigroups
Wang, G. (2017) · Journal of Combinatorial Theory Series A · doi:10.1016/j.jcta.2017.07.001 · Cited by 14
Inverse zero-sum problems for certain groups of rank three
Girard, B., & Schmid, W. A. (2019) · Acta Mathematica Academiae Scientiarum Hungaricae · doi:10.1007/s10474-019-00983-w · Cited by 14
No Exponential Quantum Speedup for SIS∞ Anymore
Kothari, R., O’Donnell, R., & Wu, K. (2026) · ACM Symposium on Theory of Computing (STOC) · doi:10.1145/3798129.3800731 · Cited by 13
Extremal Problems on the Hypercube and the Codegree Turán Density of Complete $r$-Graphs
Sidorenko, A. (2018) · SIAM Journal on Discrete Mathematics · doi:10.1137/17m1151171 · Cited by 13
Multi-wise and constrained fully weighted Davenport constants and interactions with coding theory
Marchan, L. E., Ordaz, Ó., Santos, I., & Schmid, W. A. (2015) · Journal of Combinatorial Theory Series A · doi:10.1016/j.jcta.2015.05.004 · Cited by 13
Zero sum cycles in complete digraphs
Mészáros, T., & Steiner, R. (2021) · European Journal of Combinatorics · doi:10.1016/j.ejc.2021.103399 · Cited by 13
Weighted Davenport’s constant and the weighted EGZ Theorem
Zeng, X., & Yuan, P. (2011) · Discrete Mathematics · doi:10.1016/j.disc.2011.05.024 · Cited by 13
Subsums of a Zero-sum Free Subset of an Abelian Group
Gao, W., Li, Y., Peng, J., & Sun, F. (2008) · The Electronic Journal of Combinatorics · doi:10.37236/840 · Cited by 13
Self-citationOn the arithmetic Cohen–Macaulayness of varieties parameterized by Togliatti systems
Colarte-Gómez, L., Mezzetti, E., & Miró‐Roig, R. M. (2021) · Annali di Matematica Pura ed Applicata (1923 -) · doi:10.1007/s10231-020-01058-2 · Cited by 12
Extremal product-one free sequences in C⋊C
Martínez, F. E. B., & Ribas, S. (2019) · Journal of Number Theory · doi:10.1016/j.jnt.2019.04.008 · Cited by 12
RESTRICTED INVERSE ZERO-SUM PROBLEMS IN GROUPS OF RANK 2
Schmid, W. A. (2010) · The Quarterly Journal of Mathematics · doi:10.1093/qmath/haq042 · Cited by 12
A QUANTITATIVE ASPECT OF NON-UNIQUE FACTORIZATIONS: THE NARKIEWICZ CONSTANTS
Gao, W., Geroldinger, A., & Wang, Q. (2011) · International Journal of Number Theory · doi:10.1142/s1793042111004721 · Cited by 11
Self-citationOn zero-sum subsequences of length k exp ( G ) II
Gao, W., Hong, S., & Peng, J. (2021) · Journal of Combinatorial Theory Series A · doi:10.1016/j.jcta.2021.105563 · Cited by 11
Self-citationA note on minimal zero-sum sequences over Z
Sissokho, P. A. (2014) · Acta Arithmetica · doi:10.4064/aa166-3-4 · Cited by 11
On a conjecture of the small Davenport constant for finite groups
Qu, Y., Li, Y., & Teeuwsen, D. (2022) · Journal of Combinatorial Theory Series A · doi:10.1016/j.jcta.2022.105617 · Cited by 10
A new upper bound for the cross number of finite abelian groups
Girard, B. (2009) · Israel Journal of Mathematics · doi:10.1007/s11856-009-0072-3 · Cited by 10
ON THE STRUCTURE OF MINIMAL ZERO-SUM SEQUENCES WITH MAXIMAL CROSS NUMBER
Geroldinger, A., & Grynkiewicz, D. J. (2009) · Cited by 10
Self-citationExponential lower bounds on the generalized Erdős–Ginzburg–Ziv constant
Bitz, J., Griffith, S., & He, X. (2020) · Discrete Mathematics · doi:10.1016/j.disc.2020.112083 · Cited by 10
Grynkiewicz, D. J. (2022) · Lecture notes in mathematics · doi:10.1007/978-3-031-14869-9 · Cited by 10
On the direct and inverse zero-sum problems over C⋊C2
Avelar, D. V., Martínez, F. E. B., & Ribas, S. (2023) · Journal of Combinatorial Theory Series A · doi:10.1016/j.jcta.2023.105751 · Cited by 10
On Short Zero-Sum Subsequences.
Gao, W., & Zhou, J.-Y. (2005) · Ars Combinatoria · Cited by 10
Self-citationArithmetic-progression-weighted subsequence sums
Grynkiewicz, D. J., Philipp, A., & Ponomarenko, V. (2012) · Israel Journal of Mathematics · doi:10.1007/s11856-012-0119-8 · Cited by 10
Group Algebras of Finite Abelian Groups and their Applications to Combinatorial Problems
Gao, W., Geroldinger, A., & Halter‐Koch, F. (2009) · Rocky Mountain Journal of Mathematics · doi:10.1216/rmj-2009-39-3-805 · Cited by 10
Self-citationOn generalized Erdős–Ginzburg–Ziv constants for Z2d
Sidorenko, A. (2020) · Journal of Combinatorial Theory Series A · doi:10.1016/j.jcta.2020.105254 · Cited by 10
Non-Unique factorizations of algebraic integers
Halter‐Koch, F. (2008) · Functiones et Approximatio Commentarii Mathematici · doi:10.7169/facm/1229696553 · Cited by 10
A new upper bound for the cross number of finite abelian groupsPreprint
Girard, B. (n.d.) · Cited by 10
The Noether number of the non-abelian group of order $$3p$$ 3 p
Cziszter, K. (2014) · Periodica Mathematica Hungarica · doi:10.1007/s10998-014-0025-4 · Cited by 9
Zero-sum subsequences of distinct lengths
Gao, W., Zhao, P., & Zhuang, J. (2015) · International Journal of Number Theory · doi:10.1142/s1793042115500931 · Cited by 9
Self-citationA unifying look at zero-sum invariants
Gao, W., Li, Y., Peng, J., & Wang, G. (2017) · International Journal of Number Theory · doi:10.1142/s1793042118500446 · Cited by 9
Self-citationExtremal product-one free sequences and |G|-product-one free sequences of a metacyclic group
Qu, Y., & Li, Y. (2022) · Discrete Mathematics · doi:10.1016/j.disc.2022.112938 · Cited by 9
The EGZ-constant and short zero-sum sequences over finite abelian groups
Gao, W., Han, D., & Zhang, H. (2015) · Journal of Number Theory · doi:10.1016/j.jnt.2015.09.024 · Cited by 9
Self-citationZero-sum subsequences of length kq over finite abelian p -groups
He, X. (2015) · Discrete Mathematics · doi:10.1016/j.disc.2015.09.005 · Cited by 9
Zero-sum problems for abelian p-groups and covers of the integers by residue classes
Sun, Z. (2009) · Israel Journal of Mathematics · doi:10.1007/s11856-009-0027-8 · Cited by 9
On minimal product-one sequences of maximal length over Dihedral and Dicyclic groupsPreprint
Oh, J. S., & Zhong, Q. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1901.03980 · Cited by 9
New upper bounds for the Davenport and for the Erdős–Ginzburg–Ziv constants
Chintamani, M. N., Moriya, B. K., Gao, W., Paul, P., & Thangadurai, R. (2012) · Archiv der Mathematik · doi:10.1007/s00013-011-0345-z · Cited by 8
Self-citationNote on a conjecture of Graham
Grynkiewicz, D. J. (2011) · European Journal of Combinatorics · doi:10.1016/j.ejc.2011.06.004 · Cited by 8
Gao, W., Peng, J., & Wang, G. (2010) · Journal of Combinatorial Theory Series A · doi:10.1016/j.jcta.2010.06.008 · Cited by 8
Self-citationOn the Number of Subsequences with a Given Sum in a Finite Abelian Group
Chang, G. J., Chen, S.-H., Qu, Y., Wang, G., & Zhang, H. (2011) · The Electronic Journal of Combinatorics · doi:10.37236/620 · Cited by 8
Addition theorems on the cyclic groups of order pℓ
Gao, W., Thangadurai, R., & Zhuang, J. (2007) · Discrete Mathematics · doi:10.1016/j.disc.2007.04.040 · Cited by 8
Self-citation
Metadata
- Authors
- Gao, W., & Geroldinger, A.
- Affiliations
- Nankai University (CN)
- University of Graz (AT)
- Corresponding author
- Geroldinger, Alfred
- Venue
- Expositiones Mathematicae
- Publisher
- Elsevier BV
- Published
- 2006-11
- Volume
- 24
- Issue
- 4
- Pages
- 337-369
- ISSN
- 0723-0869 (ISSN-L)
- OpenAlex
- W2121001629
- Cited by
- 262
- References
- 152
- Citations by year
- 2026: 19 · 2025: 13 · 2024: 13 · 2023: 11 · 2022: 15 · 2021: 15 · 2020: 18 · 2019: 14 · 2018: 11 · 2017: 10 · 2016: 3 · 2015: 13 · 2014: 13 · 2013: 13 · 2012: 11
- FWCI
- 17.93
- 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, 2452 d)
- Locations
- Expositiones Mathematicae (publishedVersion)
- Funders
- National Natural Science Foundation of China
- Austrian Science Fund
- Topics
- Physical Sciences › Mathematics › Discrete Mathematics and Combinatorics › Advanced Combinatorial Mathematics
- Physical Sciences › Mathematics › Discrete Mathematics and Combinatorics › Limits and Structures in Graph Theory
- Physical Sciences › Mathematics › Discrete Mathematics and Combinatorics › Finite Group Theory Research
- Keywords
- zero-sum problems, finite abelian groups, combinatorial number theory, Davenport constant, algebraic invariants
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
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.
