Zero-sum constants involving weights

A particular weighted generalization of some classical zero-sum constants was first considered about fifteen years back. Since then, many people got interested in this generalization. Finding exact values of these constants for the finite cyclic group Z n has been one of the interesting problems and people have worked on them for various weights. After summarizing the important known results on the weighted Davenport constant of a finite cyclic group for various weight sets, here we take up the problem of determining the exact values and providing bounds of it corresponding to some new weight sets.