On the Kronecker intergral
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Abstract
In his profound studies devoted to functions of several variables, Kronecker showed that the problem of determining the number of roots of a system of algebraic equations (see the article) satisfying a certain condition is related to the evaluation of an integral. The criteria for the multiplicity of solutions of a system of equations provided by algebra are complex. It is natural to seek simpler methods. Our investigation shows that this can hardly be achieved by applying the Kronecker integral without profoundly modifying its structure.
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(Archived) Articles
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References
- Monatsberichte der Akademie der Wissenschaften zu Berlin, 1869. 1878 .
- Monatsberichte der Akademie der Wissenschaften zu Berlin, 1869.
- Kronecker, Vorlesungen uber Theorie der einfachen und vielfachen Integrale, p. 266.
- Picard, Traite d'analyse, vol.I, p. 83, vol. II, p. VII.
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