On Davenport Expansions, Popov's formula, and Fine's query
Number Theory
2023-10-02 v3
Abstract
We establish an explicit connection between a Davenport expansion and the Popov sum. Asymptotic analysis follows as a result of these formulas. New solutions to a query of N.J. Fine are offered, and a proof of Davenport expansions is detailed.
Cite
@article{arxiv.2004.05644,
title = {On Davenport Expansions, Popov's formula, and Fine's query},
author = {Alexander E Patkowski},
journal= {arXiv preprint arXiv:2004.05644},
year = {2023}
}