English

The error term in counting prime pairs

Number Theory 2023-08-30 v1

Abstract

We relate the size of the error term in the Hardy-Littlewood conjectured formula for the number of prime pairs to the L1L^{1} norm of an exponential sum over the primes formed with the von Mangoldt function.

Keywords

Cite

@article{arxiv.2308.14888,
  title  = {The error term in counting prime pairs},
  author = {Leon Chou and Summer Haag and Jake Huryn and Andrew Ledoan},
  journal= {arXiv preprint arXiv:2308.14888},
  year   = {2023}
}

Comments

21 pages, 3 figures, and 1 table

R2 v1 2026-06-28T12:06:42.283Z