In the age of consumption, customers prefer high-quality and exclusively designed luxury brands. This trend is based on a variety of reasons, such as the manifestation of status and wealth, as well as positive emotions and symbolic power created by these brands. The study aims to examine the variables of trust and loyalty to luxury brands, brand preference and price sensitivity, and to determine whether there is a meaningful relationship between these variables. If there is, to investigate the mediating role of price sensitivity in the effect of consumer trust and loyalty to luxury brands on brand preference. The methodological framework of the research includes planned behaviour theory to predict customers’ intentions and behaviours towards luxury brands. The information base of the research includes data from the online survey of 563 respondents from Turkey. Among the main research methods applied in the study are descriptive statistics and correlation analysis. SPSS 22.0 and AMOS software, as well as the principles of structural equation modeling are used to analyze the data. In the research, we could not determine the mediating role of price sensitivity in the effect of brand trust and loyalty on brand preference. A statistically significant, positive, and healthy relationship exists between brand trust and brand loyalty and brand preference. The study shows that the effect of price sensitivity and brand trust on brand preference is weak. The theoretical and practical importance of the study is to support companies in developing successful luxury branding strategies and to contribute to the luxury brand literature.

In this paper, we introduce the Pell-Eisenstein Series which is obtained by Pell numbers and they are a new class of Eisenstein-type series. First, we see that they are well-defined and then we prove that the Pell-Eisenstein series satisfies some functional equations. Proofs are based on properties of Pell numbers and calculations.

Let X be a proper algebraic scheme over an algebraically closed field. We assume that a torus T acts on X such that the action has isolated fixed points. The T-graph of X can be defined using the fixed points and the one-dimensional orbits of the T-action. If the upper Borel subgroup of the general linear group with maximal torus T acts on X, then we can define a second graph associated to X, called the A-graph of X. We prove that the A-graph of X is connected if and only if X is connected. We use this result to give proof of Hartshorne’s theorem on the connectedness of the Hilbert scheme in the case of d points in n-dimensional projective space. .