About Kronecker's intergral

Abstract

In his in-depth studies on functions of many variables, Kronever showed that the question of determining the number of roots of a system of algebraic equations (see article) satisfying a certain condition is related to determining the value of the integral. The criteria for the multiplicity of solving a system of equations that algebra possesses seem complex. It is natural to look for simpler techniques. Our research shows that this can hardly be achieved by applying the Cronever integral without profoundly changing its structure.