English

An annotated bibliography for comparative prime number theory

Number Theory 2025-02-28 v3

Abstract

The goal of this annotated bibliography is to record every publication on the topic of comparative prime number theory (through mid-2024) together with a summary of its results. We use a unified system of notation for the quantities being studied and for the hypotheses under which results are obtained.

Cite

@article{arxiv.2309.08729,
  title  = {An annotated bibliography for comparative prime number theory},
  author = {Greg Martin and Pu Justin Scarfy Yang and Aram Bahrini and Prajeet Bajpai and Kübra Benli and Jenna Downey and Yuan Yuan Li and Xiaoxuan Liang and Amir Parvardi and Reginald Simpson and Ethan Patrick White and Chi Hoi Yip},
  journal= {arXiv preprint arXiv:2309.08729},
  year   = {2025}
}

Comments

110 pages; supersedes "Comparative prime number theory: A survey" (arXiv:1202.3408). Accepted (Dec. 2024) for publication in Expositiones Mathematicae

R2 v1 2026-06-28T12:23:06.350Z