| my_book4e_rec.docx |
Abstract
Here is the list of questions and problems of Number Theory listed below I tried to address entirely from the probabilistic point of view. I am hoping that some of these questions were answered satisfactory in these notes, while others are still unanswered waiting for more detailed analysis and resolution.
Here is the list of questions and problems of Number Theory listed below I tried to address entirely from the probabilistic point of view. I am hoping that some of these questions were answered satisfactory in these notes, while others are still unanswered waiting for more detailed analysis and resolution.
- Additive and sigma-additive probability measures on the set of natural nimbers
- Probability distributions on multiplicative semigroups of natural numbers and Riemann Zeta function.
- H. Cramér model and Zeta distribution of prime numbers
- Approximations of the counting function of prime numbers Pi(x)
- An additive model of random walks on a set of all prime numbers.
- Probability modeling for residuals and the Chinese Reminder Theorem