826 research outputs found
Special values of spectral zeta functions of graphs and Dirichlet -functions
In this paper, we establish relations between special values of Dirichlet
-functions and that of spectral zeta functions or -functions of cycle
graphs. In fact, they determine each other in a natural way.
These two kinds of special values were bridged together by a combinatorial
derivative formula obtained from studying spectral zeta functions of the first
order self-adjoint differential operators on the unit circle
On a certain non-split cubic surface
In this note, we establish an asymptotic formula for the number of rational
points of bounded height on the singular cubic surface with a power-saving error term, which verifies the Manin-Peyre
conjectures for this surface.Comment: v2. 18 pages, one author adde
USING SOCIAL NETWORK ANALYSIS AS A STRATEGY FOR E-COMMERCE RECOMMENDATION
Recommender agents are being widely used by E-commerce business to help customers make decisions from a large amount of choices. To improve the performance of recommendation agents, three main approaches (content-based approaches, collaborative approaches and hybrid approaches) have been proposed to address recommendation problem whose basic idea is to discover similarity of items and users and predicate users’ preference toward a set of items. This provides potential for using social network analysis to make recommendations since social network analysis can be used to investigate the relationships of customers. In this research, we illustrate the concepts of social network analysis and how it can be employed to make better recommendations in E-commerce context. Application and research opportunities are presented
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