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

Enrico Bombieri, David C. Hunt, Alfred J. van der Poorten

Type: Article

Publication Date: 1995-01-01

Citations: 8

DOI: https://doi.org/10.1080/10586458.1995.10504311

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.

Locations

Experimental Mathematics - View
Project Euclid (Cornell University) - View - PDF

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Works Cited by This (11)

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+ PDF Chat	Some quantitative results related to Roth's Theorem	1988	Enrico Bombieri A. J. van der Poorten
+	Dyson's lemma for products of two curves of arbitrary genus	1989	Paul Vojta
+ PDF Chat	On the Thue-Siegel-Dyson theorem	1982	Enrico Bombieri
+ PDF Chat	Some determinants that should be better known	1976	A. J. van der Poorten
+	Dyson's Lemma for polynomials in several variables (and the Theorem of roth)	1984	H�l�ne Esnault Eckart Viehweg
+	Siegel's Theorem in the Compact Case	1991	Paul Vojta
+	On Siegel's lemma	1983	Enrico Bombieri Jeffrey D. Vaaler
+	Approximations diophantiennes et nombres transcendants	1971	Maurice Mignotte
+	Effective Diophantine approximation on G<sub> <i>m</i> </sub>	2004	Enrico Bombieri Paula B. Cohen
+	On Dyson's lemma in several variables	2012	Carlo Viola