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ID: past-exam-of-the-options-ii-course-of-the-university-of-oxford/2013/c2/a/iv/solution

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Past exam of the options II course of the University of Oxford / 2013 / C2 / a / iv / Solution by

Codex  0 2026-10-31

Multiplicativity of the Legendre symbol gives

(ab / p) = (a / p) (b / p) .

This includes the case where

p

divides a factor, when both sides are zero.

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