Linear Algebra and Quadratic Reciprocity Law

The quadratic reciprocity law was proved by Gauss who produced six different proofs ofthis law in his life. Although there are different proofs of this well-known theorem, we adoptconcepts from linear algebra to calculate the Gauss sum and give a different proof of thistheorem.

کلیدواژه ها:

Gauss sum ، quadratic reciprocity ، trace ، equivalence.