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- Legendre_symbol abstract "In number theory, the Legendre symbol is a multiplicative function with values 1, −1, 0 that is a quadratic character modulo a prime number p: its value on a (nonzero) quadratic residue mod p is 1 and on a non-quadratic residue (non-residue) is −1. Its value on zero is 0.The Legendre symbol was introduced by Adrien-Marie Legendre in 1798 in the course of his attempts at proving the law of quadratic reciprocity. Generalizations of the symbol include the Jacobi symbol and Dirichlet characters of higher order. The notational convenience of the Legendre symbol inspired introduction of several other "symbols" used in algebraic number theory, such as the Hilbert symbol and the Artin symbol.".
- Legendre_symbol wikiPageExternalLink jacobi.htm.
- Legendre_symbol wikiPageID "18567".
- Legendre_symbol wikiPageRevisionID "594787186".
- Legendre_symbol hasPhotoCollection Legendre_symbol.
- Legendre_symbol subject Category:Modular_arithmetic.
- Legendre_symbol subject Category:Quadratic_residue.
- Legendre_symbol comment "In number theory, the Legendre symbol is a multiplicative function with values 1, −1, 0 that is a quadratic character modulo a prime number p: its value on a (nonzero) quadratic residue mod p is 1 and on a non-quadratic residue (non-residue) is −1. Its value on zero is 0.The Legendre symbol was introduced by Adrien-Marie Legendre in 1798 in the course of his attempts at proving the law of quadratic reciprocity.".
- Legendre_symbol label "Legendre symbol".
- Legendre_symbol label "Legendre-Symbol".
- Legendre_symbol label "Legendre-symbool".
- Legendre_symbol label "Simbolo di Legendre".
- Legendre_symbol label "Symbol Legendre'a".
- Legendre_symbol label "Symbole de Legendre".
- Legendre_symbol label "Símbolo de Legendre".
- Legendre_symbol label "Símbolo de Legendre".
- Legendre_symbol label "Символ Лежандра".
- Legendre_symbol label "勒让德符号".
- Legendre_symbol sameAs Legendreův_symbol.
- Legendre_symbol sameAs Legendre-Symbol.
- Legendre_symbol sameAs Símbolo_de_Legendre.
- Legendre_symbol sameAs Symbole_de_Legendre.
- Legendre_symbol sameAs Simbolo_di_Legendre.
- Legendre_symbol sameAs 르장드르_기호.
- Legendre_symbol sameAs Legendre-symbool.
- Legendre_symbol sameAs Symbol_Legendre'a.
- Legendre_symbol sameAs Símbolo_de_Legendre.
- Legendre_symbol sameAs m.04p_t.
- Legendre_symbol sameAs Q748339.
- Legendre_symbol sameAs Q748339.
- Legendre_symbol wasDerivedFrom Legendre_symbol?oldid=594787186.
- Legendre_symbol isPrimaryTopicOf Legendre_symbol.