Distribution of the determinants of sums of matrices

• Autores: Daewoong Cheong, Doowon Koh, Thang Pham, Lili An
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 37, Nº 4, 2021, págs. 1365-1398
• Idioma: inglés
• DOI: 10.4171/rmi/1230
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• Resumen

  • 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 detS for certain types of subsets S⊂M2(Fq). For i∈Fq, let Di be the subset of M2(Fq) defined by Di:={x∈M2(Fq):det(x)=i}.