On the asymptotic behavior of the integral T(x)

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Mihoub Bouderbala, Meselem Karras
DOI: 10.48550/arxiv.2602.13853
Cited by: 0

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.

Fields of Study & Subjects

Analytic Number Theory Research Mathematical Approximation and Integration Advanced Mathematical Identities

Publication details

Journal / source
arXiv (Cornell University)
Publication date
14 February 2026
Language
EN
Document type
Preprint