Zobrazeno 1 - 10
of 75
pro vyhledávání: '"Volfson, Victor"'
Autor:
Volfson, Victor
The paper proves a generalization of Wintner's theorem on the asymptotics of summation functions to the case of summation functions with nonlinear asymptotics. The class of arithmetic functions that have a logarithmic asymptotic mean is studied. The
Externí odkaz:
http://arxiv.org/abs/2404.08012
Autor:
Volfson, Victor
The paper considers a universal approach that allows one to quite simply obtain nonlinear asymptotic estimates of various summation functions. It is shown the application of this approach to the asymptotic estimation of divergent Dirichlet series. Se
Externí odkaz:
http://arxiv.org/abs/2311.00005
Autor:
Volfson, Victor
The paper considers estimates for the asymptotics of summation functions of bounded multiplicative arithmetic functions. Several assertions on this subject are proved and examples are considered.
Comment: 13 pages
Comment: 13 pages
Externí odkaz:
http://arxiv.org/abs/2304.01206
Autor:
Volfson, Victor
The paper considers estimates for some sums and products of functions of prime numbers. Several assertions on this topic have been proven. We also study extremal estimates for strongly additive and strongly multiplicative arithmetic functions. Severa
Externí odkaz:
http://arxiv.org/abs/2301.07588
Autor:
Volfson, Victor
The paper considers the asymptotic of the ratio of the number of primes not exceeding the primorial and the number of residues in the reduced system of residues for the given primorial. We study the relationship between asymptotic lower bounds for th
Externí odkaz:
http://arxiv.org/abs/2211.13255
Autor:
Volfson, Victor
The paper considers asymptotics of summation functions of additive and multiplicative arithmetic functions. We also study asymptotics of summation functions of natural and prime arguments. Several assertions on this subject are proved and examples ar
Externí odkaz:
http://arxiv.org/abs/2210.02900
Autor:
Volfson, Victor
We define the asymptotic behavior "almost everywhere" of additive and multiplicative arithmetic functions in the paper. Classes of additive and multiplicative arithmetic functions are singled out for which the asymptotics coincides "almost everywhere
Externí odkaz:
http://arxiv.org/abs/2209.06907
Autor:
Volfson, Victor
The paper solves the problems of determining the asymptotics of the number of primes and the sums of functions of primes in a subset of the natural series that satisfies the conditions that the asymptotic density of the number of primes in this subse
Externí odkaz:
http://arxiv.org/abs/2206.05118
Autor:
Volfson, Victor
We investigate the problem of the distribution of sums of functions of prime numbers located on an arithmetic progression. This problem is closely related to the problem of the distribution of prime numbers on an arithmetic progression. Based on this
Externí odkaz:
http://arxiv.org/abs/2112.04474
Autor:
Volfson, Victor
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 distribution or not. Several assertions are proved about the estimation
Externí odkaz:
http://arxiv.org/abs/2108.13199