English

Smooth numbers with few non-zero binary digits

Number Theory 2023-06-13 v2

Abstract

We use bounds of character sums and some combinatorial arguments to show the abundance of very smooth numbers which also have very few non-zero binary digits.

Keywords

Cite

@article{arxiv.2212.10209,
  title  = {Smooth numbers with few non-zero binary digits},
  author = {Maximilian Hauck and Igor E. Shparlinski},
  journal= {arXiv preprint arXiv:2212.10209},
  year   = {2023}
}

Comments

Major revisions, 15 pages

R2 v1 2026-06-28T07:44:26.525Z