Counting integer polynomials with several roots of maximal modulus
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
Authors
- Artūras Dubickas (ORCID: https://orcid.org/0000-0002-3625-9466)
- Min Sha (ORCID: https://orcid.org/0000-0003-2326-559X)
Institutions
- Vilnius University (LT)
- South China Normal University (CN)
Publication Details
- Journal
- Acta Arithmetica
- Published
- 2025-01-01
- DOI
- https://doi.org/10.4064/aa240918-12-3
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Basic and Applied Basic Research Foundation of Guangdong Province