Work

On $m$-fullness in number fields

Year: 2026

Type: preprint

Abstract: We prove asymptotic formulas for the number of $m$-full ideals of bounded norm in a given ideal class and for the number of $m$-full algebraic integers of bounded Weil height.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.12543

Authors: Horikx, Michiel, Pieropan, Marta

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Centre de Recherches Mathématiques, Nederlandse Organisatie voor Wetenschappelijk Onderzoek

Awards: Rational points: new dimensions, G6319458750

OpenAlex ID: W7221561962

Cites:

Cited by:

Related to: 10