Geodesic
\(B_h\) sequences in higher dimensions
The electronic journal of combinatorics, Tome 17 (2010)
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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.
DOI : 10.37236/307
Classification : 11B75, 11B05, 11B13, 11B30, 11B83 
@article{10_37236_307,
     author = {Laurence Rackham and Paulius \v{S}arka},
     title = {\(B_h\) sequences in higher dimensions},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/307},
     zbl = {1267.11022},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/307/}
}
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DO  - 10.37236/307
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%A Laurence Rackham
%A Paulius Šarka
%T \(B_h\) sequences in higher dimensions
%J The electronic journal of combinatorics
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Laurence Rackham; Paulius Šarka. \(B_h\) sequences in higher dimensions. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/307

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