$B_h$ Sequences in Higher Dimensions

Laurence Rackham, Paulius Šarka

Abstract


In this article we look at the well-studied upper bounds for $|A|$, where $A\subset{\Bbb N}$ is a $B_h$ sequence, and generalise these to the case where $A\subset{\Bbb N}^d$. In particular we give $d$-dimensional analogues to results of Chen, Jia, Graham and Green.


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