摘要

Let P and Q be relatively prime monic irreducible polynomials in F-q[T] (2 inverted iota q). In this paper, we give an elementary proof for the following law of quadratic reciprocity in F-q[T]: (Q/P) (P/Q) = (-1) vertical bar P vertical bar-1/2 vertical bar Q vertical bar-1/2, where (Q/P) is the Legendre symbol.

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