On the mean values of some multiplicative functions on the short interval
Alisa Sedunova
TL;DR
This paper investigates the average behavior of certain multiplicative functions related to the divisor function over short intervals, establishing their asymptotic mean values.
Contribution
It provides new asymptotic formulas for the mean values of these multiplicative functions on short intervals, advancing understanding in analytic number theory.
Findings
Asymptotic formulas for mean values are derived.
Results apply to functions connected with the divisor function.
The study enhances knowledge of multiplicative functions on short intervals.
Abstract
In this paper we study the mean values of some multiplicative functions connected with the divisor function on the short interval of summation. The asymptocic values for such mean values are proved.
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Taxonomy
TopicsMathematical Approximation and Integration · Differential Equations and Boundary Problems · Analytic Number Theory Research