Work

Counting integer polynomials with several roots of maximal modulus

Year: 2025

Type: article

Abstract: In this paper, for positive integers $H$ and $k \leq n$, we obtain some estimates on the cardinality of the set of monic integer polynomials of degree $n$ and height bounded by $H$ with exactly $k$ roots of maximal modulus. These include lower and upper b

Source: Acta Arithmetica

DOI: 10.4064/aa240918-12-3

Authors: Artūras Dubickas, Min Sha

Institutions: Vilnius University, South China Normal University

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: Basic and Applied Basic Research Foundation of Guangdong Province

Award: G6452343697