On the asymptotic behavior of the integral T(x)
Number Theory
2026-02-17 v1
Abstract
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.
Cite
@article{arxiv.2602.13853,
title = {On the asymptotic behavior of the integral T(x)},
author = {Mihoub Bouderbala and Meselem Karras},
journal= {arXiv preprint arXiv:2602.13853},
year = {2026}
}