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Published in 2020 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2020.02.011
Abstract: Abstract In this paper, we study the expanding phenomena in the setting of higher dimensional matrix rings. More precisely, we obtain a sum-product estimate for large subsets and show that x ( y + z…
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Keywords:
expanding phenomena;
dimensional matrix;
phenomena higher;
higher dimensional ... See more keywords
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Published in 2018 at "Forum Mathematicum"
DOI: 10.1515/forum-2019-0032
Abstract: Abstract In this paper, we study expanding phenomena in the setting of matrix rings. More precisely, we will prove that • if A is a set of M 2 ( ???? q ) {M_{2}(\mathbb{F}_{q})}…
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Keywords:
expanding phenomena;
rvert lvert;
lvert rvert;
rvert ... See more keywords