Jonas Jankauskas

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20192026

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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.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…