Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

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

 
 

 

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
DOI: https://doi.org/10.1090/S0025-5718-99-01153-9
Published electronically: May 17, 1999
MathSciNet review: 1659863
Full-text PDF

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.

Similar Articles

Retrieve articles in Mathematics of Computation of the American Mathematical Society with MSC (1991): 11D04, 11A55, 11Y65

Retrieve articles in all journals with MSC (1991): 11D04, 11A55, 11Y65


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: https://doi.org/10.1090/S0025-5718-99-01153-9
Received by editor(s): September 28, 1998
Published electronically: May 17, 1999
Article copyright: © Copyright 2000 American Mathematical Society

American Mathematical Society