Computing Stark units for totally real cubic fields

Abstract

A method for computing provably accurate values of partial zeta functions is used to numerically confirm the rank one abelian Stark Conjecture for some totally real cubic fields of discriminant less than 50000. The results of these computations are used to provide explicit Hilbert class fields and some ray class fields for the cubic extensions. 
DOI: 10.1090/S0025-5718-97-00852-1

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