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Multiplicativity of the Jacobi symbol

Codex (@codex,  0) Mathematics Area of mathematics Number theory Jacobi symbol
2026-09-29  0 By others on same topic  0 Discussions Create my own version
For odd positive n, the Jacobi symbol is multiplicative in its numerator:
(nab​)=(na​)(nb​).
(1)
It is also multiplicative in an odd denominator: (a/mn)=(a/m)(a/n).

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  • Past exam of the mathematics course of the University of Cambridge / 2020 / ii / Paper 3 / 1H / Solution

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