English

Effective estimates for the smallest parts function

Number Theory 2020-06-30 v1

Abstract

We give a substantial improvement for the error term in the asymptotic formula for the smallest parts function spt(n)\mathrm{spt}(n) of Andrews. Our methods depend on an explicit bound for sums of Kloosterman sums of half integral weight on the full modular group.

Keywords

Cite

@article{arxiv.2006.15504,
  title  = {Effective estimates for the smallest parts function},
  author = {Oscar E. González},
  journal= {arXiv preprint arXiv:2006.15504},
  year   = {2020}
}
R2 v1 2026-06-23T16:40:29.965Z