English

The generating function of the $\sigma_1$ function

Number Theory 2011-02-08 v1

Abstract

In this paper, we give a generate function for the σ1\sigma_1 function. Then we find some connections between the σ1\sigma_1 function and the Ramanujan's tau function. We hope this connection will give some insights into the unsolved problems in classical number theory.

Cite

@article{arxiv.1102.1155,
  title  = {The generating function of the $\sigma_1$ function},
  author = {Jingbo Wang},
  journal= {arXiv preprint arXiv:1102.1155},
  year   = {2011}
}

Comments

5 pages, 1 figure

R2 v1 2026-06-21T17:22:18.624Z