On Additive Arithmetical Functions and Applications of Probability to Number Theory

نویسنده

  • P. ERDöS
چکیده

The main topic of this lecture will be the study of the distribution function of additive arithmetical functions. Before proceeding with the subject I want to call attention to the excellent review of Kac 13 on this subject, were a very clear and detailed discussion of the interplay of probability and number theory is given. In the present review I try to emphasize those results which were not treated in detail by Kac. A real valued function f(n), n = 1, 2, . . . is called additive if

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تاریخ انتشار 2004