English

A note on Arithmetic Diophantine series

Number Theory 2021-11-16 v5

Abstract

We consider some asymptotic analysis for series related to the work of Hardy and Littlewood on Diophantine approximation, as well as Davenport. In particular, we expand on ideas from some previous work on arithmetic series and the RH.

Keywords

Cite

@article{arxiv.1801.01938,
  title  = {A note on Arithmetic Diophantine series},
  author = {Alexander E Patkowski},
  journal= {arXiv preprint arXiv:1801.01938},
  year   = {2021}
}

Comments

Corrected the main theorem and re-organized its proof

R2 v1 2026-06-22T23:37:52.752Z