English

The prime ideals in every class contain arbitrary large truncated classes

Number Theory 2012-12-20 v4

Abstract

We prove that the prime ideals in every class of a number field contain arbitrary large truncated ideal classes.

Keywords

Cite

@article{arxiv.1212.0089,
  title  = {The prime ideals in every class contain arbitrary large truncated classes},
  author = {Chunlei Liu},
  journal= {arXiv preprint arXiv:1212.0089},
  year   = {2012}
}

Comments

This is a generalization of Green-Tao's prime arithmetic progression theorem to number fields

R2 v1 2026-06-21T22:47:14.153Z