Jonas Jankauskas

activity

20122016

most citedThere are no two non-real conjugates of a Pisot number with the same imaginary part

2 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2016★ 1 cited

On Newman and Littlewood multiples of Borwein polynomials

Paulius Drungilas, Jonas Jankauskas, Jonas Šiurys

A Newman polynomial has all the coefficients in ${0, 1}$ and constant term 1, whereas a Littlewood polynomial has all coefficients in ${- 1, 1}$ . We call $P (X) \in Z [X]$ a…

math.NT2014★ 2 cited

There are no two non-real conjugates of a Pisot number with the same imaginary part

Artūras Dubickas, Kevin G. Hare, Jonas Jankauskas

We show that the number $α = (1 + 3 + 25) /2$ with minimal polynomial $x^{4} - 2 x^{3} + x - 1$ is the only Pisot number whose four distinct conjugates $α_{1}, α_{2}, α_{3}, α_{4}$ satisfy the ad…

math.NT2012

On the equation $f (g (x)) = f (x) h^{m} (x)$ for composite polynomials

Himadri Ganguli, Jonas Jankauskas

In this paper we solve the equation $f (g (x)) = f (x) h^{m} (x)$ where $f (x)$ , $g (x)$ and $h (x)$ are unknown polynomials with coefficients in an arbitrary field $K$ , $f (x)$ is non-constant…

On Newman and Littlewood multiples of Borwein polynomials

There are no two non-real conjugates of a Pisot number with the same imaginary part

On the equation f(g(x))=f(x)hm(x) for composite polynomials

On the equation $f (g (x)) = f (x) h^{m} (x)$ for composite polynomials