A Variation of Takagi's Proof for Quadratic Reciprocity Laws for Jacobi Symbols
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It is well known that Gauss has found the first complete proof of quadratic reciprocity laws in  (1801) and many different proofs for quadratic reciprocity laws of Legendre symbols have been published after then (see for example Appendix B of Lemmermeyer's text ). In this paper, we shall write down a visual proof of quadratic reciprocity laws for Jacobi symbols depending on Schering's generalization of Gauss's lemma.
- Journal of mathematics, the University of Tokushima
Journal of mathematics, the University of Tokushima (43), 9-23, 2009-12
The University of Tokushima