The distribution of square-free numbers
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Publication:5905668
zbMath0772.11033MaRDI QIDQ5905668
Publication date: 24 May 1993
Published in: Science in China. Series A (Search for Journal in Brave)
exponential sumsasymptotic formulaerror termsquare-free numbersVaughan's identityHeath-Brown's method
Estimates on exponential sums (11L07) Distribution of integers with specified multiplicative constraints (11N25)
Related Items (13)
Numerical secondary terms in a Cohen-Lenstra conjecture on real quadratic fields ⋮ On a Diophantine equation with prime variables ⋮ Explicit bounds for large gaps between squarefree integers ⋮ The distribution of \(k\)-free numbers ⋮ The distribution of k-free numbers and the derivative of the Riemann zeta-function ⋮ Moments of the distribution of k$k$‐free numbers in short intervals and arithmetic progressions ⋮ Roth-type theorem for quadratic system in Piatetski-Shapiro primes ⋮ The greatest prime factor of the integers in a short interval (IV) ⋮ Two families of monogenic $S_4$ quartic number fields ⋮ On the distribution of \(k\)-th power free integers ⋮ Average of Hardy’s function at Gram points ⋮ On the distribution of squarefree numbers ⋮ Power-free values of strongly \(q\)-additive functions
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