Jacobi symbol
短语词形变化
释义与例句
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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.
数学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.
2014, Ibrahim Elashry, Yi Mu, Willy Susilo, Jhanwar-Barua's Identity-Based Encryption Revisited, Man Ho Au, Barbara Carminati, C.-C. Jay Kuo (editors), Network and System Security: 8th International Conference, Springer, LNCS 8792, page 279, From the above equations, guessing the Jacobi symbol ((2y_is_j_1s_j_2+2)/N) from ((2y_j_1s_j_1+2)/N) and ((2y_j_2s_j_2+2)/N) is as hard as guessing them from independent Jacobi symbols.
词源
Named after German mathematician Carl Gustav Jakob Jacobi, who introduced the notation in 1837.
来源：wiktionary