Commit 2022-05-03 18:19 bd1d9359
View on Github →feat(number_theory/legendre_symbol/): add some lemmas (#13831) This adds essentially two lemmas on quadratic characters:
quadratic_char_neg_one_iff_not_is_square
, which says that the quadratic character takes the value-1
exactly on non-squares, andquadratic_char_number_of_sqrts
. which says that the number of square roots ofa : F
isquadratic_char F a + 1
. It also adds the corresponding statements,legendre_sym_eq_neg_one_iff
andlegendre_sym_number_of_sqrts
, for the Legendre symbol.