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PreprintCC BY 4.0arXiv

Sharp local estimates for smooth numbers

Abstract

We establish sharp local estimates for smooth numbers. Corollaries are derived, including optimal estimates for square-free smooth numbers.

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BibTeX
@misc{gorodetsky2026sharp,
  title = {{Sharp local estimates for smooth numbers}},
  author = {Ofir Gorodetsky},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.10324},
  eprint = {2609.10324},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.10324},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Sharp local estimates for smooth numbers
AU  - Ofir Gorodetsky
PY  - 2026
DA  - 2026/09/09
PB  - arXiv
DO  - 10.48550/arxiv.2609.10324
UR  - https://arxiv.org/abs/2609.10324
AB  - We establish sharp local estimates for smooth numbers. Corollaries are derived, including optimal estimates for square-free smooth numbers.
ER  -