Jonas Jankauskas

activity

20122026

most citedThe

t

-metric Mahler measures of surds and rational numbers

7 citations · 14 across the 13 of their papers we have counts for

collaborators

Showing 2014Show all

2 papers · 1 filter

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.NT2014★ 7 cited

The $t$ -metric Mahler measures of surds and rational numbers

Charles L. Samuels, Jonas Jankauskas

A. Dubickas and C. Smyth introduced the metric Mahler measure $M_{1} (α) = in f {n = 1 \sum N M (α_{n}) : N \in N, α_{1} \dots α_{N} = α},$ where $M (α)$ denotes the u…

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

The t-metric Mahler measures of surds and rational numbers

The $t$ -metric Mahler measures of surds and rational numbers