C o n s i d e r a t i o n s o n t h e L e y o f Quadratic Reciprocity
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This research presents an exhaustive analysis of 7 demonstrations of the Quadratic Reciprocity Law in the field of number theory, through the description of key concepts, propositions, corollaries, lemmas and theorems that are convergent and / or divergent and at the same time the consequence produced by said law is specified. This, in turn, is structured in five chapters, within which are elements such as the antecedents related to the line of research, the approach to the problem, the justification of said problem, as well as the scope and limits of It has a referential framework, where the fundamental concepts for its development are illustrated, after the research methodology is expressed, the results obtained are presented and finally conclusions that respond to the objectives are illustrated.
It has a methodology, framed in the analytical method, since some demonstrations of the Law of Quadratic Reciprocity were analyzed, in addition it started from general aspects, to reach particular conclusions. In it, a non-experimental design was developed, since variables were not manipulated.
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