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math.NT2026
Sharp local estimates for smooth numbers
Ofir Gorodetsky
We establish sharp local estimates for smooth numbers. Corollaries are derived, including optimal estimates for square-free smooth numbers.
math.NT2026
A Kubilius model for sieve-theoretic sequences
Ofir Gorodetsky
We bound the total variation distance in the Kubilius model for sequences with positive level of distribution. We obtain a result that we expect is qualitatively optimal. As a spec…