ON THE DISTRIBUTION OF r-TUPLES OF SQUAREFREE NUMBERS IN SHORT INTERVALS

DOI10.1142/S179304210600053XzbMath1196.11130arXivmath/0505326OpenAlexW2005233726MaRDI QIDQ5483364

Doychin I. Tolev

Publication date: 14 August 2006

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505326

zbMATH Keywords

Asymptotic formulaUpper boundSquare-free numbers\(r\)-tuplesShort intervals

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Applications of sieve methods (11N36) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (4)

Quadratic non-residues in short intervals ⋮ Ergodic and Statistical Properties of $\B$-Free Numbers ⋮ On the variance of squarefree integers in short intervals and arithmetic progressions ⋮ On square-free values of large polynomials over the rational function field

Cites Work

• The square sieve and consecutive square-free numbers
• The distribution of r ‐tuples of square‐free numbers
• Squarefree numbers on short intervals

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