On the Asymptotic Behaviour of the Integral T(x)=∫0+∞|{xt}−{xt+1}|dt T(x)=\int_0^{+\infty}\left|\left\{\frac{x}{t}\right\}-\left\{\frac{x}{t+1}\right\}\right|\,dt
By: Mihoub Bouderbala and Meselem Karras
Authors
Mihoub Bouderbala
Faculty of Matter Sciences and Computer Sciences, FIMA Laboratory, Khemis Miliana University, Algeria
Meselem Karras
Faculty of Science and Technology, Tissemsilt University, and FIMA Laboratory, Khemis Miliana University, Algeria
Language: English
Page range: 119 - 132
Submitted on: Feb 23, 2026
Accepted on: Jun 25, 2026
Published on: Jun 30, 2026
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
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© 2026 Mihoub Bouderbala, Meselem Karras, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.