On the order of elements in long minimal zero-sum sequences
Periodica Mathematica Hungarica, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weidong Gao 0001, Alfred Geroldinger
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Minimal zero-sum sequences over 〚 − m,n〛
Journal of Number Theory, 2019Let \(G\) be an abelian group and let \(X\subset G\) be a nonempty finite subset. A sequence over \(X\) is a finite unordered sequence with terms from \(X\) and repetition is allowed. We say \(S\) is zero-sum if all terms of \(S\) sums zero. If \(S\) is a zero-sum sequence but any nonempty proper subsequence of \(S\) is not a zero-sum sequence, \(S ...
Zeng, Xiangneng, Deng, Guixin
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On the structure of long unsplittable minimal zero-sum sequences
Acta Arithmetica, 2016Summary: Let \(G\) be an abelian group of odd order \(n\geq 9\). We determine the structure of unsplittable minimal zero-sum sequences over \(G\) of length greater than or equal to \(\lfloor n/3\rfloor+3\).
Zeng, Xiangneng +2 more
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Linear Recurring Sequences over Zero-Sum Semirings
2016Linear recurrences sequences are widely studied over fields rings and modules. In this paper, we introduce the notion of linear recurrence sequence over semirings. After investigating some basics properties, we give a characterization of linear recurrence sequence over zero-sum semirings.
Lamine Ngom, Omar Diankha, Djiby Sow
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On zero-sum subsequences of length k exp ( G ) II
Journal of Combinatorial Theory - Series A, 2022Weidong Gao, Jiangtao Peng
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On zero-sum free sequences contained in random subsets of finite cyclic groups
Discrete Applied Mathematics, 2023Sang June Lee, Jun Seok Oh
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ON SUBSEQUENCE SUMS OF ZERO-SUM FREE SEQUENCES OVER
JP Journal of Algebra, Number Theory and Applications, 2022Jiangtao Peng, Yunbiao Peng
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On zero-sum subsequences of lengthkexp(G)
Journal of Combinatorial Theory - Series A, 2014Weidong Gao, Jiangtao Peng
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Note on the index conjecture in zero-sum theory and its connection to a Dedekind-type sum
Journal of Number Theory, 2016Fan Ge
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Short zero-sum sequences over abelian p-groups of large exponent
Journal of Number Theory, 2017Sammy Luo
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