A. Gusakova

collaborators

2 papers

math.NT2019

On the distribution of Salem numbers

Friedrich Götze, Anna Gusakova

In this paper we study the problem of counting Salem numbers of fixed degree. Given a set of disjoint intervals $I_{1}, \dots, I_{k} \subset [0; π]$ , $1 \leq k \leq m$ let $Sa…

math.NT2018

Distribution of complex algebraic numbers on the unit circle

Friedrich Götze, Anna Gusakova, Zakhar Kabluchko +1

For $- π \leq β_{1} < β_{2} \leq π$ denote by $Φ_{β_{1}, β_{2}} (Q)$ the number of algebraic numbers on the unit circle with arguments in $[β_{1}, β_{2}]$ of degree $2 m$ and with elliptic height at most…