Prime Factorization

  • Harvey Cohn
Part of the Universitext book series (UTX)

Abstract

We consider, as always, a number field k over ℚ generated by ξ εOk the domain of algebraic integers in k. Thus
$$ {\text{K = Q(}}\xi {\text{), }}\xi \varepsilon {O_{\text{k}}},{\text{ F}}\left( \xi \right) = 0. $$
(10.1)
$$ {\text{F}}\left( {\text{x}} \right) = {{\text{x}}^{\text{n}}} + {{\text{a}}_1}{{\text{x}}^{{\text{n - 1}}}} + \ldots + {{\text{a}}_{{\text{n - 1}}}}{\text{x + }}{{\text{a}}_{\text{n}}}, $$
(10.2)
for F(x) an irreducible polynomial of degree n over ℤ.

Keywords

Tame 

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Copyright information

© Springer-Verlag New York Inc. 1978

Authors and Affiliations

  • Harvey Cohn
    • 1
  1. 1.City CollegeCity University of New YorkNew YorkUSA

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