Summation arithmetic functions with asymptotically independent summands

2018/11/29 by Volfson, Victor
#11N64 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1811.12022

Abstract

The summation arithmetic functions with asymptotically independent summands are studied in the paper. We prove statements about the condition under which the summation arithmetic functions have asymptotically independent summands. It is also prove that the limiting distribution of the summation arithmetic function with asymptotically independent summands is normal under certain conditions for summands of the summation arithmetic function.

Related

• Asymptotic of summation arithmetic functions, the limit for which is the law of normal distribution
• Investigations of the limit distribution and the asymptotic behavior of\n summation arithmetic functions
• Estimation of the asymptotic behavior of summation functions
• Asymptotic behavior of summation functions from bounded arithmetic multiplicative functions
• Summation arithmetic functions with bounded terms, having a limit normal distribution law