Dragomir Grozev

collaborators

3 papers

math.NT2026

Weighted Generalizations of Zagier's Phenomenon

Dragomir Grozev, Navid Safaei

We study sums associated with the action of $P G L_{2} (Z)$ on continuous piecewise polynomial functions with exactly two real roots, both irrational. We form weighted sums of t…

math.CV2026

A Note on the Converse Sendov Problem

Dragomir Grozev, Nikolai Nikolov

For a polynomial of degree $n$ whose zeros lie in the closed unit disk, we determine the largest possible distance from a prescribed critical point of modulus $r$ to the nearest ze…

math.MG2026

On Ulam's Segment Motion Problem

Dragomir Grozev, Nikolai Nikolov

We study extremal rigid motions of a unit segment in $R^{d}$ , $d \geq 2$ . Given two prescribed positions of a unit segment, we consider continuous motions transforming the ini…