On the distribution of \(k\)-th power free integers

zbMath1246.11160MaRDI QIDQ663532

Trinh Khanh Duy

Publication date: 17 February 2012

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1326291216

zbMATH Keywords

Riemann zeta function\(k\)-th power free integersgroup of finite adeles

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06) Arithmetic functions in probabilistic number theory (11K65) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) (L^p)-limit theorems (60F25)

Related Items (4)

On the distribution of \(k\)-th power free integers. II ⋮ Limit-periodic arithmetical functions and the ring of finite integral adeles ⋮ PROBABILISTIC PROOF OF THE MEAN-VALUE THEOREM FOR [0,<i> </i>1-VALUED MULTIPLICATIVE FUNCTIONS BY MEANS OF THE ADELIC FORMULATION] ⋮ Divisibility properties of polynomial expressions of random integers

Cites Work

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• The probability of two integers to be co-prime, revisited -- on the behavior of CLT-scaling limit
• The Distribution of Squarefree Numbers
• PROBABILISTIC PROOF OF LIMIT THEOREMS IN NUMBER THEORY BY MEANS OF ADELES
• The distribution of square-free numbers

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