Computing Stark units for totally real cubic fields-Reference-Cited by-同舟云学术

Computing Stark units for totally real cubic fields

Published:1997 Issue:219 Volume:66 Page:1239-1267
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Dummit David,Sands Jonathan,Tangedal Brett

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1997-66-219/S0025-5718-97-00852-1/S0025-5718-97-00852-1.pdf

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5. C. Fogel, personal communication.

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