13 citations · 32 across the 10 of their papers we have counts for
Showing 2018Show all
2 papers · 1 filter
math.NT2018
On iterated product sets with shifts II
Brandon Hanson, Oliver Roche-Newton, Dmitrii Zhelezov
The main result of this paper is the following: for all there exists such that \[ \max \{ |A^{(k)}|, |(A+u)^{(k)}| \} \geq |A|^b, \] for any finite $A \s…
math.NT2018★ 4 cited
On iterated product sets with shifts
Brandon Hanson, Oliver Roche-Newton, Dmitrii Zhelezov
We prove that, for any finite set with and any positive integer , the -fold product set of the shift satisfies the bound $$| \{(a…