English

A remark on Fine's arithmetic functions

Number Theory 2023-09-04 v1

Abstract

In this note, we take another look at some arithmetic identities of N.J. Fine associated with divisor functions. We connect these functions with indefinite quadratic forms using a result due to Andrews. As a consequence, arithmetic theorems are extracted.

Keywords

Cite

@article{arxiv.2104.08606,
  title  = {A remark on Fine's arithmetic functions},
  author = {Alexander E. Patkowski},
  journal= {arXiv preprint arXiv:2104.08606},
  year   = {2023}
}
R2 v1 2026-06-24T01:16:48.029Z