2 citations · 6 across the 37 of their papers we have counts for
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Determination of the asymptotic behavior of probabilistic characteristics of arithmetic functions and some other questions of probabilistic number theory
Victor Volfson
One of the questions of distribution of prime numbers is considered in the article. It is shown what error is obtained from the assumption that the asymptotic density of a sequence…
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…
Asymptotic of summation functions
Victor Volfson
We will study the asymptotic behavior of summation functions of a natural argument, including the asymptotic behavior of summation functions of a prime argument in the paper. A gen…
Asymptotic of the greatest distance between adjacent primes and the Hardy-Littlewood conjecture
Victor Volfson
The paper substantiates the conjecture of the asymptotic behavior of the largest distance between consecutive primes: , where…
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+...+…