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Asymptotics of probability characteristics of additive arithmetic functions
Victor Volfson
We study the questions of determining the asymptotics of the probabilistic characteristics of additive arithmetic functions in the paper, regardless of whether they have a limit di…
Asymptotics for sums of functions of primes
Victor Volfson
This work gives a general approach to the determination of the asymptotic behavior of the sums of functions of primes based on the distribution of primes. It refines the estimate o…
Determination of the asymptotic behavior of the number of natural solutions for certain types of diagonal Diophantine equations
Victor Volfson
We obtain asymptotic upper bounds for the number of natural solutions of the following diagonal Diophantine equations in a hypercube with side - in the paper: $x_1 = x_2^k+...+…
Summation arithmetic functions with bounded terms, having a limit normal distribution law
Victor Volfson
The paper considers the properties of pseudo stationarity in a broad sense and pseudo strong mixing for sequences of random variables corresponding to arithmetic functions. Asserti…
Asymptotic of summation arithmetic functions, the limit for which is the law of normal distribution
Victor Volfson
Summation arithmetic functions with asymptotically independent terms are studied in the paper, the limit of which is the law of normal distribution. Assertions about the asymptotic…
Asymptotic of some sums
Victor Leonidovich Volfson
The paper compares the asymptotic of the expressions and , $\frac {1} {x} \sum\limits_{p \l…