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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… Click to show full 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 ) , x + y z , x y + z + t are moderate expanders over the matrix ring M n ( F q ) . These results generalize recent results of Y.D. Karabulut, D. Koh, T. Pham, C-Y. Shen, and the second listed author.
Keywords:
expanding phenomena;
dimensional matrix;
phenomena higher;
higher dimensional;
matrix rings
Journal Title: Journal of Number Theory
Year Published: 2020
Link to full text (if available)
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Journal Title: Journal of Number Theory
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!