3 papers
math.NT2026
On the Mean Value of a Weighted Composite Arithmetic Function
Mihoub Bouderbala
The primary objective of this paper is to employ methods from analytic number theory to investigate the mean value properties of a composite function involving the Dirichlet diviso…
math.NT2026
On certain sums involving the largest prime factor over integer sequences
Mihoub Bouderbala
Given an integer , its prime factorization is expressed as . We define the function as the smallest positive integer such that i…
math.NT2026
On the asymptotic behavior of the integral T(x)
Mihoub Bouderbala, Meselem Karras
In this paper, we estimate the integral T(x) mentioned in the title, where {t} denotes the fractional part of the real number t, and x is any positive real number.