@article{Hu2023, 
author = {Yuting Hu and Jiangtao Peng and Mingrui Wang},
title = {On Modified Erdős-Ginzburg-Ziv constants of finite abelian groups},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {3},
pages = {6697-6704},
keywords = {zero-sum sequence, Erdős-Ginzburg-Ziv Theorem, Generalized Erdős-Ginzburg-Ziv constant, Modified Erdős-Ginzburg-Ziv constant},
url = {https://www.sciopen.com/article/10.3934/math.2023339},
doi = {10.3934/math.2023339},
abstract = {Let    G be a finite abelian group with exponent    exp  ⁡  (  G  ) and    S be a sequence with elements of    G. We say    S is a zero-sum sequence if the sum of the elements in    S is the zero element of    G. For a positive integer    t, let              s              t      exp      ⁡      (      G      )        (  G  ) (respectively,              s              t      exp      ⁡      (      G      )        ′    (  G  )) denote the smallest integer    ℓ such that every sequence (respectively, zero-sum sequence)    S over    G with        |    S      |    ≥  ℓ contains a zero-sum subsequence of length    t  exp  ⁡  (  G  ). The invariant              s              t      exp      ⁡      (      G      )        (  G  )  (respectively,              s              t      exp      ⁡      (      G      )        ′    (  G  )) is called the Generalized Erdős-Ginzburg-Ziv constant (respectively, Modified Erdős-Ginzburg-Ziv constant) of    G. In this paper, we discuss the relationship between Generalized Erdős-Ginzburg-Ziv constant and Modified Erdős-Ginzburg-Ziv constant, and determine              s              t      exp      ⁡      (      G      )        ′    (  G  ) for some finite abelian groups.}
}