Algebraic Numbers and Number Fields

Name: Algebraic Numbers and Number Fields
Creator: David Hilbert

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1998 English Publisher:Springer Berlin Heidelberg

Authors: David Hilbert;

doi: 10.1007/978-3-662-03545-0_1

Algebraic Numbers and Number Fields

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Abstract

A number α is called an algebraic number if it satisfies an equation of degree m of the form $${\alpha ^m} + {a_1}{\alpha ^{m - 1}} + {a_2}{\alpha ^{m - 2}} + \cdots + {a_m} = 0$$ where a 1, a 2,..., a m are rational numbers.

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