vZygimantas Baron.enas

collaborators

3 papers

math.NT2026

No three algebraic conjugates of degree sixteen sum to zero

Å½ygimantas BaronÄnas, Žygimantas Baronėnas, Paulius Drungilas +1

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

Å½ygimantas BaronÄnas, Paulius Drungilas, Jonas Jankauskas

We characterize all algebraic numbers $I^\pm$ of degree $8$ for which there exist four distinct algebraic conjugates $I^\pm_{1}$ , $I^\pm_{2}$ , $I^\pm_{3}$ , $I^\pm_{4}$ of $I^\pm$ satisfying the linear relat…

math.NT2026

No three algebraic conjugates of degree sixteen sum to zero

Å½ygimantas BaronÄnas, 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…