V. Dimitrov

activity

20072021

most citedA proof of the Schinzel-Zassenhaus conjecture on polynomials

11 citations · 28 across the 11 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.NT2019★ 11 cited

A proof of the Schinzel-Zassenhaus conjecture on polynomials

Vesselin Dimitrov

We prove that if $P (X) \in Z [X]$ is an integer polynomial of degree $n$ and having $P (0) = 1$ , then either $P (X)$ is a product of cyclotomic polynomials, or else at least…

math.NT2019★ 3 cited

Galois orbits of torsion points near atoral sets

Vesselin Dimitrov, Philipp Habegger

We prove that the Galois equidistribution of torsion points of the algebraic torus $G_{m}^{d}$ extends to the singular test functions of the form $lo g ∣ P ∣$ , where $P$ is a…

math.NT2019

Uniform bound for the number of rational points on a pencil of curves

Vesselin Dimitrov, Ziyang Gao, Philipp Habegger

Consider a one-parameter family of smooth, irreducible, projective curves of genus $g \geq 2$ defined over a number field. Each fiber contains at most finitely many rational points b…