Comments on: Polynomial $x^p-x+a$ is Irreducible and Separable Over a Finite Field

Comments on: Polynomial $x^p-x+a$ is Irreducible and Separable Over a Finite Field https://yutsumura.com/polynomial-xp-xa-is-irreducible-and-separable-over-a-finite-field/ Thu, 24 May 2018 13:37:55 +0000 hourly 1 https://wordpress.org/?v=5.3.4 By: Yu https://yutsumura.com/polynomial-xp-xa-is-irreducible-and-separable-over-a-finite-field/#comment-1615 Thu, 22 Jun 2017 15:32:35 +0000 https://yutsumura.com/?p=1618#comment-1615 Dear Hansi,
Thank you for pointing out the typos. I edited the post. Thanks!

]]> By: Hansi https://yutsumura.com/polynomial-xp-xa-is-irreducible-and-separable-over-a-finite-field/#comment-1614 Thu, 22 Jun 2017 09:58:56 +0000 https://yutsumura.com/?p=1618#comment-1614 minor issues:
In the line with f'(x) you should imo differentiate, as if you were in the Real numbers
so f'(x)=p*x^(p-^)-1

In the Proof of Lemma1, second line, there’s a minor error with the sign of the second j, should be -j

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