In this note, we study a sum–product estimate over matrix rings . More precisely, for , we have
- • if , then
- • if , then
Dans cette Note, nous étudions le phénomène somme–produit dans les anneaux de matrices . Plus précisément, pour , nous montrons :
- • si , alors
- • si , alors
Accepted:
Published online:
Thang Pham 1
@article{CRMATH_2019__357_10_766_0, author = {Thang Pham}, title = {A sum{\textendash}product theorem in matrix rings over finite fields}, journal = {Comptes Rendus. Math\'ematique}, pages = {766--770}, publisher = {Elsevier}, volume = {357}, number = {10}, year = {2019}, doi = {10.1016/j.crma.2019.09.008}, language = {en}, }
Thang Pham. A sum–product theorem in matrix rings over finite fields. Comptes Rendus. Mathématique, Volume 357 (2019) no. 10, pp. 766-770. doi : 10.1016/j.crma.2019.09.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2019.09.008/
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