Bounds for the smallest norm in an ideal class
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Abstract:
We develop a method for obtaining upper bounds for the smallest norm among all norms of integral ideals in an ideal class. Applying this to number fields of small degree, we are able to substantially improve on the best previously known bounds.References
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Additional Information
- Ana-Cecilia de la Maza
- Affiliation: Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile
- Received by editor(s): September 15, 1999
- Received by editor(s) in revised form: December 26, 2000
- Published electronically: October 26, 2001
- Additional Notes: This work was supported by Fondecyt grants N$^{\mathrm o}$ 2950023, 1960867 and 1981170, and by Programa formas extremas y representación de formas cuadráticas, Universidad de Talca, Chile
- © Copyright 2001 American Mathematical Society
- Journal: Math. Comp. 71 (2002), 1745-1758
- MSC (2000): Primary 11R29; Secondary 11Y60
- DOI: https://doi.org/10.1090/S0025-5718-01-01373-4
- MathSciNet review: 1933053