English

A Linear Division-Based Recursion with Number Theoretic Applications

Number Theory 2021-01-27 v1

Abstract

A simple remark on infinite series is presented. This applies to a particular recursion scenario, which in turn has applications related to a classical theorem on Euler's phi-function and to recent work by Ron Brown on natural density of square-free numbers.

Keywords

Cite

@article{arxiv.2101.10428,
  title  = {A Linear Division-Based Recursion with Number Theoretic Applications},
  author = {Jonathan L. Merzel},
  journal= {arXiv preprint arXiv:2101.10428},
  year   = {2021}
}
R2 v1 2026-06-23T22:31:14.181Z