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Some examples related to the $abc$-conjecture
for algebraic number fields

Author: Niklas Broberg
Journal: Math. Comp. 69 (2000), 1707-1710
MSC (1991): Primary 11D04, 11A55, 11Y65
Published electronically: May 17, 1999
MathSciNet review: 1659863
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Abstract | References | Similar Articles | Additional Information

Abstract: We present a numerical method for finding extreme examples of identities related to the uniform $abc$-conjecture for algebraic number fields.

References [Enhancements On Off] (What's this?)

  • 1. J. Browkin, The $abc$-conjecture, Preprint.
  • 2. J. Browkin and J. Brzezinski, Some remarks on the $abc$-conjecture, Math. Comp. 62 (1994), no. 206, 931-939. MR 94g:11021
  • 3. G. Cooke, A weakening of the euclidean property for integral domains and applications to algebraic number theory I, J. Reine Angew. Math. 282 (1976), 133-156. MR 53:10758
  • 4. A. Granville and H.M. Stark, Abc implies no ``Siegel zeros'', Preprint.

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Additional Information

Niklas Broberg
Affiliation: Dept. of Mathematics, Chalmers University of Technology, Göteborg University, SE-412 96 Göteborg, Sweden

Received by editor(s): September 28, 1998
Published electronically: May 17, 1999
Article copyright: © Copyright 2000 American Mathematical Society

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