Johann Cigler

activity

20242026

collaborators

6 papers

math.CO2026

Some remarks about q-Narayana polynomials for q=-1

Johann Cigler

We obtain some properties of the q-Narayana polynomials for q=-1 and compare them to corresponding properties for q=1.

math.CO2025

Some power series extensions of Fibonacci and Lucas polynomials

Johann Cigler

We study formal power series which can be interpreted as interpolations of Fibonacci and Lucas polynomials with even (or odd) indices.

math.CO2025

A bivariate version of the spread polynomials

Johann Cigler

We study a bivariate variant of Hans-Christian Herbig's version of Norman Wildberger's spread polynomials.

math.CO2025

Fibonacci, Lucas, and Spread Polynomials

Johann Cigler

This note gives an elementary exposition of a variant of the spread polynomials in terms of Fibonacci and Lucas polynomials.

math.NT2025

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

Johann Cigler

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

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 q-Narayana polynomials for q=-1

Some power series extensions of Fibonacci and Lucas polynomials

A bivariate version of the spread polynomials

Fibonacci, Lucas, and Spread Polynomials

Some remarks about the minimal polynomials of 4sin2(nI¨​)

Factorization of spread polynomials

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