On the number of integral ideals in a number field

Abstract

We update Sunley's explicit estimate for the ideal-counting function, which is the number of integral ideals of bounded norm in a number field.

26 pages, 6 tables, comments welcome! Updates explained in the article

References in corpus (2)

• Unconditional Explicit Mertens' Theorems for Number Fields and Dedekind Zeta Residue Bounds
• On an explicit zero-free region for the Dedekind zeta-function

Cited by in corpus (2)

• Counting ideals in ray classes
• Counting ideals in abelian number fields