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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Computing Stark units for totally real
cubic fields


Authors: David S. Dummit, Jonathan W. Sands and Brett A. Tangedal
Journal: Math. Comp. 66 (1997), 1239-1267
MSC (1991): Primary 11R42; Secondary 11Y40, 11R37, 11R16
MathSciNet review: 1415801
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Abstract | References | Similar Articles | Additional Information

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.


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Additional Information

David S. Dummit
Affiliation: Department of Mathematics and Statistics, University of Vermont, Burlington, Vermont 05405
Email: dummit@math.uvm.edu

Jonathan W. Sands
Affiliation: Department of Mathematics and Statistics, University of Vermont, Burlington, Vermont 05405

Brett A. Tangedal
Affiliation: Department of Mathematics and Statistics, University of Vermont, Burlington, Vermont 05405

DOI: http://dx.doi.org/10.1090/S0025-5718-97-00852-1
PII: S 0025-5718(97)00852-1
Received by editor(s): February 9, 1996
Received by editor(s) in revised form: May 15, 1996
Additional Notes: Research supported by grants from the NSA and the NSF
Article copyright: © Copyright 1997 American Mathematical Society