English

A prime number theorem for the majority function

Number Theory 2012-11-16 v1

Abstract

In the paper, the occurrence of zeros and ones in the binary expansion of the primes is studied. In particular the statement in the title is established. The proof is unconditional.

Keywords

Cite

@article{arxiv.1211.3430,
  title  = {A prime number theorem for the majority function},
  author = {Jean Bourgain},
  journal= {arXiv preprint arXiv:1211.3430},
  year   = {2012}
}
R2 v1 2026-06-21T22:38:34.154Z