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Rational equivalence of a form to a sum of 𝑝th powers

Rational equivalence of a form to a sum of 𝑝th powers

RATIONAL EQUIVALENCE OF FORMS 221with respect to an («, p)-proper field 4>, are equal if and only if F is equivalent under non-singular linear transformations in <j> to a formBy the equality of ranks of a quadratic form this theorem includes the well known result* that any quadratic form is …