PROBABILISTIC PROOF OF LIMIT THEOREMS IN NUMBER THEORY BY MEANS OF ADELES

DOI10.2206/kyushujm.56.391zbMath1137.11330OpenAlexW1989949059MaRDI QIDQ4793678

Hiroshi Sugita, Hisayoshi Kubota

Publication date: 12 February 2003

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

Full work available at URL: https://doi.org/10.2206/kyushujm.56.391

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Arithmetic functions; related numbers; inversion formulas (11A25) Arithmetic functions in probabilistic number theory (11K65) Continuous, (p)-adic and abstract analogues (11K41)

Related Items (9)

Arithmetic Functions: A Pivotal Topic in the Scientific Work of Wolfgang Schwarz ⋮ The probability of rectangular unimodular matrices over \(\mathbb F_q[x\)] ⋮ 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 ⋮ Densities on Dedekind domains, completions and Haar measure ⋮ On the distribution of \(k\)-th power free integers ⋮ Prüfer's ideal numbers as Gelfand's maximal ideals ⋮ Natural density of integral matrices that can be extended to invertible integral matrices ⋮ On coprime percolation, the visibility graphon, and the local limit of the GCD profile

This page was built for publication: PROBABILISTIC PROOF OF LIMIT THEOREMS IN NUMBER THEORY BY MEANS OF ADELES