F. Pakovich

activity

20022026

most citedSolution of the polynomial moment problem

28 citations · 166 across the 47 of their papers we have counts for

collaborators

53 papers

math.DS2026

Functional equations in branched covering maps

Fedor Pakovich

We study the functional equation $f \circ p = g \circ q,$ where $f,$ $g,$ $p,$ $q$ are branched covering maps between closed surfaces. In particular, we extend results on semicon…

math.AG2026

On intersections of fields of rational functions

Fedor Pakovich

Let $X$ and $Y$ be rational functions of degree at least two with complex coefficients such that $C (X, Y) = C (z)$ . We study the problem of determining when the field…

math.AG2023★ 2 cited

On intersection of lemniscates of rational functions

Stepan Orevkov, Fedor Pakovich

For a non-constant complex rational function $P$ , the lemniscate of $P$ is defined as the set of points $z \in C$ such that $∣ P (z) ∣ = 1$ . The lemniscate of $P$ coinc…

math.CO2023

Integrability of matrices

Suren Danielyan, Alexander Guterman, Elena Kreines +1

The concepts of differentiation and integration for matrices are known. As far as each matrix is differentiable, it is not clear a priori whether a given matrix is integrable or no…

math.AC2022

Functional equations in formal power series

Fedor Pakovich

Let $k$ be an algebraically closed field of characteristic zero, and $k [[z]]$ the ring of formal power series over $k$ . In this paper, we study equations in the semigroup $z^2k[[z]…

math.DS2022

Right amenability in semigroups of formal power series

Fedor Pakovich

Let $k$ be an algebraically closed field of characteristic zero, and $k [[z]]$ the ring of formal power series over $k$ . We provide several characterizations of right amenable finit…