English Explanatory Dictionary

Jacobi symbol

English dictionary entry

Meanings

noun
  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.

Word forms

Jacobi symbol Jacobi symbols

Etymology

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

Related words

Legendre symbol quadratic reciprocity
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