English

Correlation and lower bounds of arithmetic expressions

Number Theory 2023-05-15 v1

Abstract

We explore the use of correlation with simple functions to get lower bounds for arithmetic quantities. In particular, we apply this idea to the power moments of the error term when counting visible lattice points in large spheres.

Keywords

Cite

@article{arxiv.2305.07277,
  title  = {Correlation and lower bounds of arithmetic expressions},
  author = {Fernando Chamizo},
  journal= {arXiv preprint arXiv:2305.07277},
  year   = {2023}
}

Comments

12 pages. Submitted to Acta Arithmetica

R2 v1 2026-06-28T10:32:41.301Z