Modifications of Some Methods in the Study of Zero-sum Constants
نویسندگان
چکیده
For a finite abelian group G with exp(G) = n, the arithmetical invariant smn(G) is defined to be the least integer k such that any sequence S with length k of elements in G has a zero-sum subsequence of length mn. When m = 1, it is the Erdős-Ginzburg-Ziv constant and is denoted by s(G). There are weighted versions of these constants. Here, to obtain bounds on some particular constants of these types corresponding to the cyclic group Zn, we shall modify a polynomial method used by Rónyai for making some progress towards the Kemnitz conjecture, and also a method of Gri ths which had been used to attack a problem for some weighted version of the constant.
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