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

zbMath1304.11108MaRDI QIDQ379114

Satoshi Takanobu, Trinh Khanh Duy

Publication date: 8 November 2013

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

Full work available at URL: https://projecteuclid.org/euclid.ojm/1380287428

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 (3)

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 ⋮ Ergodic and Statistical Properties of $\B$-Free Numbers

Cites Work

• On the distribution of \(k\)-th power free integers
• The probability of two integers to be co-prime, revisited -- on the behavior of CLT-scaling limit

This page was built for publication: On the distribution of \(k\)-th power free integers. II