Fourier Expansion of the Riemann zeta function and applications

We study the distribution of values of the Riemann zeta function $\zeta(s)$ on vertical lines $\Re s + i \mathbb{R}$, by using the theory of Hilbert space. We show among other things, that, $\zeta(s)$ has a Fourier expansion in the half-plane $\Re s \geq 1/2$ and its Fourier coefficients are the binomial transform involving the Stieltjes constants. As an application, we show explicit computation of the Poisson integral associated with the logarithm of $\zeta(s) - s/(s-1)$. Moreover, we discuss our results with respect to the Riemann and Lindel\"{o}f hypotheses on the growth of the Fourier coefficients.Comment: 21 page

Equity-Based free channels assignment for secondary users in a cognitive radio network

The present paper addresses the equity issue among the secondary users in a cognitive radio network. After using a multi scheduler algorithm and a fairness metric namely Jain’s Equity Index; we enhance the equity between the secondary users’ transfer rates by 0.64 in average, relative to a previous work

Decentralization of Services Through Three Tiers in Wireless Body Area Networks

The Wireless Body Area Network (WBAN) contains a set of sensors, placed in the patient’s environment, to detect the vital signs and transmit the results towards the relevant services that interact in urgent cases. The present work exposes a functional WBAN architecture formed by three layers: closest, intermediate and farthest. The closest layer senses the chemical and biological signs. If the case is normal, or it can be locally regulated, the service stops there; else the intermediate service, namely the local hospital, is consulted to make treatments. Therefore, the patient will be transported into the hospital for examinations. If this condition is established the processus stopped there, otherwise, the request of help from an outside hospital becomes necessary. This request passes through a manager that supervises a network of hospitals and looks for a free place to welcome the patient. After the localization of a hospital, its coordinates will be forwarded into the customer hospital, for transporting the patient. The simulation results show that this design increases the patient’s probability of healing and maximizes the use of the available resources, relative to the centralization of services at a single layer or at two layers

Monopoly-Market-Based Cooperation in Cognitive Radio Networks

In a cognitive radio network (CRN), the primary users (PUs) do not operate their spectra, full time. Thus, they can sell them to the secondary users (SUs), for a second use, during the free time slots. In this article, we assume that the market is perfect, monopolized by a single PU, and all players are rational. After formulating the PU’s profit, we established a necessary and sufficient condition that guarantees the introduction of the PU into the market. In addition, the expressions of the SUs’ profits, showed us that in non-cooperative form, some ones got zero profit, even after maximizing their profits. Therefore, we have considered to study the effect of cooperation on the profits of this category of SUs. By following this step, we established a cooperation strategy, to avoid zero profits for all SUs. In order to analyze the impact of this cooperation on the PU, we have expressed the profits of the PU in the cooperative and non-cooperative forms; as result, we found that the cooperation between SUs brought better than the non-cooperative form

Energy efficient power control for device to device communication in 5G networks

Next generation cellular networks require high capacity, enhanced energy efficiency and guaranteed quality of service (QoS). In order to meet these targets, device-to device (D2D) communication is being considered for future 5th generation especially for certain applications that require the proximity gain, the reuse gain, and the hop gain. In this paper, we investigate energy efficient power control for the uplink of an OFDMA (orthogonal frequency-division multiple access) single-cell communication system composed of both regular cellular users and device to device (D2D) pairs. Firstly, we analyze and mathematically model the actual requirements forD2D communications and traditional cellular links in terms of minimum rate and maximum power requirement. Secondly, we use fractional programming in order to transform the original problem into an equivalent concave one and we use the non-cooperative Game theory in order to characterize the equilibrium. Then, the solution of the game is given as a water-filling power allocation. Furthermore, we implement a distributed power allocation scheme using three ways: a) Fractional programming techniques b) Closed form expression (the novelty is the use of wright omega function). c) Inverse water filling. Finally, simulations in both static and dynamic channel setting are presented to illustrate the improved performance in term of EE, SE (spectral efficiency) and time of execution of the iterative algorithm (Dinkelbach) than the closed form algorithms

Data for Sustainable Development in Logistics and Supply Chains – A Systematic Literature Review

The pressure on companies to contribute to sustainable development has increased drastically due to new regulations and political and social demands. The logistics and supply chain industry is directly influenced by this pressure as it has a considerable impact on society, is accountable for a large amount of emissions, and is a major contributor to the economy. The amount of information available is multiplying, and data is an asset that has become the essence of this century’s economy. This study investigates the implications of data in sustainable development by identifying data objects and attributes for logistics in a systematic literature review. The findings highlight the importance of data to sustainable development, contributing to the UN SDGs, promoting informed decision-making, and focusing on operational optimization

THE ROLE OF THE UNIVERSITY IN SUSTAINABLE DEVELOPMENT: A STATISTICAL ANALYSIS OF STUDENT AND FACULTY TRENDS AT THE UNIVERSITY OF TAMANRASSET

Purpose: This article studies and analyzes the role of the university in achieving the goals of sustainable development, by revealing the orientations of students and faculty members of the University of Tamanrasset regarding the contribution of higher education and scientific research activities to the economic, social and environmental development of Tamanrasset region and the challenges that prevent the university from performing its functions in the best possible way, in addition to presenting proposals that would contribute to the integration of the university into its local and national environment and keeping pace with changes at the global level.   Methodology: The descriptive approach was adopted in this study, where descriptive indicators of educational activity and scientific publications of professors and students of Tamanghasset University that serve the goals of sustainable development were analyzed. The study also used the questionnaire tool to arrive at a standard model that helps in accurately interpreting the results obtained through various statistical data.   Results: The results indicate the importance of the university's functions in achieving the sustainable development goals, as the correlation coefficient between them reached 0.7, with an emphasis on the greater impact of scientific research compared to higher education. The results also showed that the level of university education and scientific research is still modest at the University of Tamanrasset, which was reflected in its performance in achieving the sustainable development goals due to several reasons, the most prominent of which were the weakness of educational programs and curricula and the absence of incentives for individual and collective initiatives related to finding solutions to economic, social and environmental issues in the region.   Practical Implications: The study suggests that the university should support university education for sustainable development by undertaking specific activities that translate into the university’s work and its relations with the environment, and that educational programs and curricula should take into account labor market expectations and social and economic challenges, in addition to stimulating and valuing scientific research to solve issues with a local dimension and supporting individual and collective initiatives related to the environment through scientific clubs and student organizations to spread environmental awareness among students.   Originality/Value: This study contributes to the literature by providing a detailed analysis of the role of the university in achieving the sustainable development goals, which have become a topic of increasing interest due to the environmental challenges facing the world in recent years. The unique focus of the study on the University of Tamanrasset provides valuable insights and recommendations for valuing the outcomes of higher education and scientific research in Algeria in general and in the Tamanrasset region in particular to support sustainable development