Last Updated
：2025/11/20
Jacobi symbol
Noun
Japanese Meaning
ヤコビ記号: 整数 a と奇数正整数 b を引数とする数学的関数で、一般に (a/b) と表記される。定義は b の各素因数 p₁, p₂, … に対し、a がそれぞれの pᵢ における二次剰余であるか非二次剰余であるかに基づいて決定される。
（ plural ）
Quizzes for review
(number theory) A mathematical function of integer a and odd positive integer b, generally written (a/b), based on, for each of the prime factors pᵢ of b, whether a is a quadratic residue or nonresidue modulo pᵢ.
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Jacobi symbol
To determine whether a number is a quadratic residue modulo n, students often compute the Jacobi symbol (a|n) as a first step.
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To determine whether a number is a quadratic residue modulo n, students often compute the Jacobi symbol (a|n) as a first step.
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