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

Author(s): Niklas Broberg.
Journal: Math. Comp. 69 (2000), 1707-1710.
MSC (1991): Primary 11D04, 11A55, 11Y65
Posted: May 17, 1999
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Abstract: We present a numerical method for finding extreme examples of identities related to the uniform $abc$-conjecture for algebraic number fields.

References:

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
Email: nibro@math.chalmers.se

DOI: 10.1090/S0025-5718-99-01153-9
PII: S 0025-5718(99)01153-9
Received by editor(s): September 28, 1998
Posted: May 17, 1999
Copyright of article: Copyright 2000, American Mathematical Society

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