The probability of two integers to be co-prime, revisited -- on the behavior of CLT-scaling limit
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Publication:1423472
zbMath1068.11050MaRDI QIDQ1423472
Satoshi Takanobu, Hiroshi Sugita
Publication date: 1 March 2004
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Central limit and other weak theorems (60F05) Convergence of probability measures (60B10) Arithmetic functions in probabilistic number theory (11K65) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)
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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 ⋮ Divisibility properties of random samples of integers ⋮ On the distribution of \(k\)-th power free integers ⋮ Prüfer's ideal numbers as Gelfand's maximal ideals
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