Computing Stark units for totally real cubic fields
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- by David S. Dummit, Jonathan W. Sands and Brett A. Tangedal PDF
- Math. Comp. 66 (1997), 1239-1267 Request permission
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.References
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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
- MR Author ID: 154195
- Brett A. Tangedal
- Affiliation: Department of Mathematics and Statistics, University of Vermont, Burlington, Vermont 05405
- MR Author ID: 612497
- 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
- © Copyright 1997 American Mathematical Society
- Journal: Math. Comp. 66 (1997), 1239-1267
- MSC (1991): Primary 11R42; Secondary 11Y40, 11R37, 11R16
- DOI: https://doi.org/10.1090/S0025-5718-97-00852-1
- MathSciNet review: 1415801