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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.

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Diameters of complete sets of conjugate algebraic integers of small degree
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by Michel Grandcolas PDF
Math. Comp. 67 (1998), 821-831 Request permission

Abstract:

We give bounds for the coefficients of a polynomial as functions of the diameter of its roots, hence we obtain polynomials with minimal diameters and small degree
References
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Additional Information
  • Michel Grandcolas
  • Affiliation: UFR MIM, Département de Mathématiques, URA CNRS 399, Université de Metz, Ile du Saulcy, 57045 Metz Cedex 01, France
  • Email: Grandcol@poncelet.univ-metz.fr
  • Received by editor(s): March 10, 1996
  • Received by editor(s) in revised form: October 25, 1996
  • © Copyright 1998 American Mathematical Society
  • Journal: Math. Comp. 67 (1998), 821-831
  • MSC (1991): Primary 11Y40, 11R09
  • DOI: https://doi.org/10.1090/S0025-5718-98-00923-5
  • MathSciNet review: 1451322