Jacobi symbol

名词 n.
中文释义

英文释义

名词 n.
  1. 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.
    — 2000, Song Y. Yan, Number Theory for Computing, Springer, 2000, Softcover reprint, page 114, Although the Jacobi symbol ((1009)/(2307))=1, we still cannot determine whether or not the quadratic congruence 1009=x²(mod 2307) is soluble. Remark 1.6.10. Jacobi symbols can be used to facilitate the calculation of Legendre symbols.

词形变化

Jacobi symbols plural

词源

Named after German mathematician Carl Gustav Jakob Jacobi, who introduced the notation in 1837.
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