English

On the number of integral ideals in a number field

Number Theory 2023-09-06 v2 Rings and Algebras

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.

Keywords

Cite

@article{arxiv.2203.00389,
  title  = {On the number of integral ideals in a number field},
  author = {Ethan Simpson Lee},
  journal= {arXiv preprint arXiv:2203.00389},
  year   = {2023}
}

Comments

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