Counting ideals in abelian number fields
Year: 2025
Type: article
Abstract: 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 .
Source: Journal of Number Theory
Institutions: University of Padua, Max Planck Institute for Mathematics
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,550
OpenAlex ID: W4416442349