Modified Erdös–Ginzburg–Ziv constants for [formula omitted] and [formula omitted

Abstract

For an abelian group G and an integer t>0, the modified Erdös–Ginzburg–Ziv constantst′(G) is the smallest integer ℓ such that any zero-sum sequence of length at least ℓ with elements in G contains a zero-sum subsequence (not necessarily consecutive) of length t. We compute st′(G) for G=Z∕nZ and for G=(Z∕nZ)2 when t=n.