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Consimilarity of hybrid number matrices and hybrid number matrix equations $ \mathrm{A\widetilde{\mathrm{X}}-XB} = \mathrm{C} $

open access: yesAIMS Mathematics
This research aims to investigate the consimilarity of hybrid number matrices and to develop solutions for matrix equations associated with these numbers.
Hasan Çakır
doaj   +1 more source

Distribution of complex algebraic numbers

open access: yesProceedings of the American Mathematical Society, 2016
For a region $ \subset\mathbb{C}$ denote by $ (Q; )$ the number of complex algebraic numbers in $ $ of degree $\leq n$ and naive height $\leq Q$. We show that $$ (Q; )=\frac{Q^{n+1}}{2 (n+1)}\int_ (z)\, (dz)+O\left(Q^n \right),\quad Q\to\infty, $$ where $ $ is the Lebesgue measure on the complex plane and the function $ $ will be given ...
Götze, Friedrich   +2 more
openaire   +3 more sources

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