The distribution of r ‐tuples of square‐free numbers

DOI10.1112/S0025579300011049zbMath0583.10026OpenAlexW2144841641MaRDI QIDQ3708081

Kai-Man Tsang

Publication date: 1985

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300011049

zbMATH Keywords

error estimateasymptotic formuladistribution of square-free integersBuchstab-Rosser sieve

Mathematics Subject Classification ID

Distribution of primes (11N05) Sieves (11N35)

Related Items (14)

On the exponents in the factorizations ofrconsecutive numbers ⋮ Ergodic properties of square-free numbers ⋮ Entropy and diffraction of the \(k\)-free points in \(n\)-dimensional lattices ⋮ Uniqueness of the measure of maximal entropy for the squarefree flow ⋮ Moments of the distribution of k$k$‐free numbers in short intervals and arithmetic progressions ⋮ Ergodic and Statistical Properties of $\B$-Free Numbers ⋮ Statistical properties of the Moebius function ⋮ On pseudo-random subsets of the set of the integers not exceeding \(N\) ⋮ Variants of equidistribution in arithmetic progression and the twin prime conjecture ⋮ On Bourgain's bound for short exponential sums and squarefree numbers ⋮ On the variance of squarefree integers in short intervals and arithmetic progressions ⋮ Convergent sieve sequences in arithmetic progressions ⋮ ON THE DISTRIBUTION OF r-TUPLES OF SQUAREFREE NUMBERS IN SHORT INTERVALS ⋮ On the distribution of \(r\)-tuples of \(k\)-free numbers

Cites Work

• The square sieve and consecutive square-free numbers
• Unnamed Item

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