PROBABILISTIC PROOF OF THE MEAN-VALUE THEOREM FOR [0,<i> </i>1]-VALUED MULTIPLICATIVE FUNCTIONS BY MEANS OF THE ADELIC FORMULATION

Author:

SUGITA Hiroshi1

Affiliation:

1. Department of Mathematics Graduate School of Science Osaka University

Publisher

Faculty of Mathematics, Kyushu University

Subject

General Mathematics

Reference15 articles.

1. [1] T. K. Duy. On the distribution of k-th power free integers. Osaka J. Math. 48 (2011), 1027-1045.

2. [2] T. K. Duy and S. Takanobu. On the distribution of k-th power free integers II. Osaka J. Math. 50 (2013), 687-713.

3. [3] P. D. T. A. Elliott. Probabilistic Number Theory I: Mean-Value Theorems (Grundlehren der Mathematischen Wissenschaften). Springer, Berlin, 1979.

4. [4] K.-H. Indlekofer. Number theory—probabilistic, heuristic, and computational approaches. Comput. Math. Appl. 43 (2002), 1035-1061.

5. [5] M. Kac. Statistical Independence in Probability, Analysis and Number Theory (The Carus Mathematical Monographs, 12). Mathematical Association of America and John Wiley and Sons, New York, 1959.

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