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

15 papers

math.NT2026

No three algebraic conjugates of degree sixteen sum to zero

Žygimantas Baronėnas, Paulius Drungilas, Jonas Jankauskas

Let $d$ be the smallest positive integer, not a multiple of $3$ , for which there exists an algebraic number $\al$ of degree $d$ over $Q$ whose three algebraic conjugates a…

math.NT2026

Linear relations of four conjugates of an algebraic number of degree eight

Žygimantas Baronėnas, Paulius Drungilas, Jonas Jankauskas

We characterize all algebraic numbers $α$ of degree $8$ for which there exist four distinct algebraic conjugates $α_{1}$ , $α_{2}$ , $α_{3}$ , $α_{4}$ of $α$ satisfying the linear relation $α…

math.NT2026

No three algebraic conjugates of degree sixteen sum to zero

Žygimantas Baronėnas, Paulius Drungilas, Jonas Jankauskas

Let $d$ be the smallest positive integer, not divisible by $3$ , for which there exists an algebraic number over $Q$ of degree $d$ whose some three algebraic conjugates sum…

math.NT2025

Linear relations of four conjugates of an algebraic number

Ž. Baronėnas, P. Drungilas, J. Jankauskas

We characterize all algebraic numbers $α$ of degree $d \in {4, 5, 6, 7}$ for which there exist four distinct algebraic conjugates $α_{1}$ , $α_{2}$ , $α_{3}$ , $α_{4}$ of $α$ satisfying the rela…

math.PR2022★ 3 cited

Multi seasonal discrete time risk model revisited

Andrius Grigutis, Jonas Jankauskas, Jonas Šiaulys

In this work we set up the distribution function of $M := sup_{n ⩾ 1} \sum_{i = 1}^{n} (Z_{i} - 1)$ , where the random walk $\sum_{i = 1}^{n} Z_{i}, n \in N,$ is generate…

math.NT2021

Rational matrix digit systems

Jonas Jankauskas, Jörg M. Thuswaldner

Let $A$ be a $d \times d$ matrix with rational entries which has no eigenvalue $λ \in C$ of absolute value $∣ λ ∣ < 1$ and let $Z^{d} [A]$ be the smallest nontrivial $A…

math.PR2021

On $2 \times 2$ determinants originating from survival probabilities in homogeneous discrete time risk model

Andrius Grigutis, Jonas Jankauskas

We analyze $2 \times 2$ Hankel-like determinants $D_{n}$ that arise in the initial values problem for the ultimate time survival probability $φ (u)$ in a homogeneous discrete time risk…

math.NT2019

On Newman and Littlewood polynomials with prescribed number of zeros inside the unit disk

Kevin G. Hare, Jonas Jankauskas

We study ${0, 1}$ and ${- 1, 1}$ polynomials $f (z)$ , called Newman and Littlewood polynomials, that have a prescribed number $N (f)$ of zeros in the open unit disk $\mathcal{D} =…

math.NT2019

Linear relations with conjugates of a Salem number

Artūras Dubickas, Jonas Jankauskas

In this paper we consider linear relations with conjugates of a Salem number $α$ . We show that every such a relation arises from a linear relation between conjugates of the corresp…

math.NT2018★ 1 cited

On certain multiples of Littlewood and Newman polynomials

P. Drungilas, J. Jankauskas, G. Junevičius +2

Polynomials with all the coefficients in ${0, 1}$ and constant term 1 are called Newman polynomials, whereas polynomials with all the coefficients in ${- 1, 1}$ are called Littl…

math.NT2018

Characterization of rational matrices that admit finite digit representations

Jonas Jankauskas, Jörg Thuswaldner

Let $A$ be an $n \times n$ matrix with rational entries and let \[ \mathbb{Z}^n[A] := \bigcup_{k=1}^{\infty} \left( \mathbb{Z}^n + A\mathbb{Z}^n + \dots + A^{k-1}\mathbb{Z}^n\right…

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.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…

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…

No three algebraic conjugates of degree sixteen sum to zero

Linear relations of four conjugates of an algebraic number of degree eight

No three algebraic conjugates of degree sixteen sum to zero

Linear relations of four conjugates of an algebraic number

Multi seasonal discrete time risk model revisited

Rational matrix digit systems

On 2×2 determinants originating from survival probabilities in homogeneous discrete time risk model

On Newman and Littlewood polynomials with prescribed number of zeros inside the unit disk

Linear relations with conjugates of a Salem number

On certain multiples of Littlewood and Newman polynomials

Characterization of rational matrices that admit finite digit representations

On Newman and Littlewood multiples of Borwein polynomials

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

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

On $2 \times 2$ determinants originating from survival probabilities in homogeneous discrete time risk model

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

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