Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Bounds for the smallest norm in an ideal class
HTML articles powered by AMS MathViewer

by Ana-Cecilia de la Maza PDF
Math. Comp. 71 (2002), 1745-1758 Request permission

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
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC (2000): 11R29, 11Y60
  • Retrieve articles in all journals with MSC (2000): 11R29, 11Y60
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