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A derivation of Dickson-Brewer polynomials using the Cayley-Hamilton theorem
Jean-Christophe Pain
https://arxiv.org/abs/2406.07322 https://

A derivation of Dickson-Brewer polynomials using the Cayley-Hamilton theorem
In this note, the first-order Dickson polynomials are introduced through a particular case of the expression of the trace of the $n^{th}$ power of a matrix in terms of powers of the trace and determinant of the matrix itself. The technique relies on the Cayley-Hamilton theorem and its application to the derivation of formulas due to Carlitz and to second-order Dickson polynomials is straightforward. Finally, generalization of Dickson polynomials over finite fields and multivariate Dickson polyn…

This https://arxiv.org/abs/2406.07322 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A derivation of Dickson-Brewer polynomials using the Cayley-Hamilton theorem
In this note, the first-order Dickson polynomials are introduced through a particular case of the expression of the trace of the $n^{th}$ power of a matrix in terms of powers of the trace and determinant of the matrix itself. The technique relies on the Cayley-Hamilton theorem and its application to the derivation of formulas due to Carlitz and to second-order Dickson polynomials is straightforward. Finally, generalization of Dickson polynomials over finite fields and multivariate Dickson polyn…

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Barbara Dickson:
🎵 Another Suitcase In Another Hall
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https://open.spotify.com/track/2LfCLMXEXi28CxVRo0uCvi

🔊 #NowPlaying on #BBC6Music's #6MusicArtistInResidence
Barbara Dickson:
🎵 Another Suitcase In Another Hall
#BarbaraDickson
https://open.spotify.com/track/2LfCLMXEXi28CxVRo0uCvi