English

Some remarks on the first Hardy-Littlewood conjecture

History and Overview 2019-04-22 v2

Abstract

Starting from the first Hardy-Littlewood conjecture some topics will be covered: an empirical approach to the distribution of the twin primes in classes mod(10) and a simplified proof of the Bruns theorem . Finally, it will be explored an approach based on numerical analysis: Monte Carlo Method and Low discrepancy Sequences will be used to prove the convergence of the conjecture to the expected values.

Keywords

Cite

@article{arxiv.1904.03017,
  title  = {Some remarks on the first Hardy-Littlewood conjecture},
  author = {Marco Bortolomasi and Arturo Ortiz-Tapia},
  journal= {arXiv preprint arXiv:1904.03017},
  year   = {2019}
}

Comments

11 pages, 3 figures