Johann Cigler

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20242026

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math.NT2025

Some remarks about the minimal polynomials of $4 sin^{2} (\frac{π}{n})$

Johann Cigler

We show that the values of the minimal polynomials $ϕ_{n} (x)$ of $4 sin^{2} (\frac{π}{n})$ for $x \in {0, 1, 2, 3, 4}$ are intimately related to the pri…

math.NT2024

Factorization of spread polynomials

Johann Cigler, Hans-Christian Herbig

We present a proof of a conjecture of Goh and Wildberger on the factorization of the spread polynomials. We indicate how the factors can be effectively calculated and exhibit a con…

Some remarks about the minimal polynomials of 4sin2(nπ​)

Factorization of spread polynomials

Some remarks about the minimal polynomials of $4 sin^{2} (\frac{π}{n})$