Some counting questions for matrix products
M Afifurrahman - Bulletin of the Australian Mathematical Society, 2024 - cambridge.org
SOME COUNTING QUESTIONS FOR MATRIX PRODUCTS Page 1 Bull. Aust. Math. Soc. 110
(2024), 32–43 doi:10.1017/S0004972723001004 SOME COUNTING QUESTIONS FOR …
(2024), 32–43 doi:10.1017/S0004972723001004 SOME COUNTING QUESTIONS FOR …
Some sum-product estimates in matrix rings over finite fields
C Xie, G Ge - Finite Fields and Their Applications, 2022 - Elsevier
We study some sum-product problems over matrix rings. Firstly, for A, B, C⊆ M n (F q), we
have| A+ BC|≳ qn 2, whenever| A|| B|| C|≳ q 3 n 2− n+ 1 2. Secondly, if a set A in M n (F q) …
have| A+ BC|≳ qn 2, whenever| A|| B|| C|≳ q 3 n 2− n+ 1 2. Secondly, if a set A in M n (F q) …
An energy decomposition theorem for matrices and related questions
A Mohammadi, T Pham, Y Wang - Canadian Mathematical Bulletin, 2023 - cambridge.org
An energy decomposition theorem for matrices and related questions Page 1 Canad. Math.
Bull. Vol. 64 (4), 2023, pp. 1280–1295 http://dx.doi.org/10.4153/S000843952300036X © …
Bull. Vol. 64 (4), 2023, pp. 1280–1295 http://dx.doi.org/10.4153/S000843952300036X © …
[HTML][HTML] Expanding phenomena over higher dimensional matrix rings
N Van The - Journal of Number Theory, 2020 - Elsevier
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 …
rings. More precisely, we obtain a sum-product estimate for large subsets and show that x …
A point–plane incidence theorem in matrix rings
T Nguyen - Discrete Applied Mathematics, 2022 - Elsevier
A point–plane incidence theorem in matrix rings - ScienceDirect Skip to main contentSkip to
article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full …
article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full …
[PDF][PDF] A sum–product theorem in matrix rings over finite fields
T Pham - Comptes Rendus. Mathématique, 2019 - comptes-rendus.academie-sciences …
A sum–product theorem in matrix rings over finite fields Page 1 CR Acad. Sci. Paris, Ser. I 357
(2019) 766–770 Contents lists available at ScienceDirect CR Acad. Sci. Paris, Ser. I …
(2019) 766–770 Contents lists available at ScienceDirect CR Acad. Sci. Paris, Ser. I …
Expanders on Matrices over a Finite Chain Ring, II
DM Ha, HT Ngo - SIAM Journal on Discrete Mathematics, 2023 - SIAM
This work is a continuation of our previous work [DM Ha and HT Ngo. Int. J. Math., 34
(2023)], studying the expanding phenomenon in matrices over a finite chain ring with large …
(2023)], studying the expanding phenomenon in matrices over a finite chain ring with large …
[PDF][PDF] A point-plane incidence theorem in matrix rings
N Van The, LA Vinh - arXiv preprint arXiv:2106.03319, 2021 - arxiv.org
arXiv:2106.03319v2 [math.CO] 19 Aug 2022 A point-plane incidence theorem in matrix
rings Page 1 arXiv:2106.03319v2 [math.CO] 19 Aug 2022 A point-plane incidence theorem …
rings Page 1 arXiv:2106.03319v2 [math.CO] 19 Aug 2022 A point-plane incidence theorem …
Distribution of the determinants of sums of matrices
Let Fq be an arbitrary finite field of order q and let M2 (Fq) be the ring of all 2× 2 matrices
with entries in Fq. In this article, we study det S for certain types of subsets S⊂ M2 (Fq). For …
with entries in Fq. In this article, we study det S for certain types of subsets S⊂ M2 (Fq). For …