Counting ideals in abelian number fields
Already Dedekind and Weber considered the problem of counting integral ideals of norm at most x in a given number field K . Here we improve on the existing results in case K / Q is abelian and has degree at least four. For these fields, we obtain as a consequence an improvement of the available results on counting pairs of coprime ideals each having norm at most x .
Authors
- Pieter Moree (ORCID: https://orcid.org/0000-0002-5318-2587)
- Alessandro Languasco (ORCID: https://orcid.org/0000-0003-2723-554X)
- Rashi Lunia (ORCID: https://orcid.org/0000-0002-2074-7668)
Institutions
- University of Padua (IT)
- Max Planck Institute for Mathematics (DE)
Publication Details
- Journal
- Journal of Number Theory
- Published
- 2025-11-21
- DOI
- https://doi.org/10.1016/j.jnt.2025.10.012
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00