A QUANTITATIVE ASPECT OF NON-UNIQUE FACTORIZATIONS: THE NARKIEWICZ CONSTANTS

DOI10.1142/S1793042111004721zbMath1230.20023OpenAlexW2125204420WikidataQ114072057 ScholiaQ114072057MaRDI QIDQ3173451

Qinghong Wang, Alfred Geroldinger, Weidong Gao

Publication date: 10 October 2011

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042111004721

zbMATH Keywords

finite Abelian groupszero-sum sequencesnon-unique factorizationsErdős-Ginzburg-Ziv constantcombinatorial constants

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Units and factorization (11R27) Other combinatorial number theory (11B75) Finite abelian groups (20K01) Inverse problems of additive number theory, including sumsets (11P70)

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Cross number invariants of finite Abelian groups. ⋮ On generalized Narkiewicz constants of finite abelian groups ⋮ Structure of a sequence with prescribed zero-sum subsequences: rank two \(p\)-groups ⋮ Factorization length distribution for affine semigroups. II: Asymptotic behavior for numerical semigroups with arbitrarily many generators ⋮ On a conjecture concerning the maximal cross number of unique factorization indexed sequences

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