Reducible Forms of a Field

David Hilbert

Chapter 8 in The Theory of Algebraic Number Fields, 1998, pp 65-66 from Springer

Abstract: Abstract If ξ(1),..., ξ(m) are m linear forms in the m variables u 1,..., u m with arbitrary real or complex coefficients then the product $$U({u_1}, \cdots ,{u_m}) = {\xi ^{(1)}} \cdots {\xi ^{(m)}}$$ is called a reducible form of degree m in the m variables u 1,..., u m. The coefficients of the products of u 1,..., u m are called the coefficients of the form.

Date: 1998
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DOI: 10.1007/978-3-662-03545-0_8

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