English

An induction property for prime counting functions

Number Theory 2019-11-11 v1

Abstract

We provide an elementary proof of an asymptotic formula for prime counting functions. As a minor application we give a new reduction of the proof of Chebotar\"ev's density theorem to the cyclic case.

Keywords

Cite

@article{arxiv.1911.03349,
  title  = {An induction property for prime counting functions},
  author = {Andrew O'Desky},
  journal= {arXiv preprint arXiv:1911.03349},
  year   = {2019}
}

Comments

4 pages

R2 v1 2026-06-23T12:09:30.701Z