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Experimental Mathematics Volume 4, 1995 - Issue 2
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Original Articles

Determinants in the Study of Thue's Method and Curves with Prescribed Singularities

Enrico Bombieri School of Mathematics, Institute for Advanc ed Study, Princeton, NJ, 08540, USA E-mail: [email protected]
,
David C. Hunt School of Mathematics, University of New South Wales, Kensington, NSW, 2031, Australia E-mail: [email protected]
&
Alfred J. van der Poorten Centre for Number Theory Research, Macquarie University, Sydney, NSW, 2109, Australia E-mail: [email protected]
Pages 87-96 | Published online: 03 Apr 2012
 
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Abstract

Our investigations in the 1980's of Thue's method yielded determinants that we were only able to analyse successfully in part. We explain the context of our work, recount our experiences, mention our conjectures, and allude to a number of open questions.

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